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85494671357760 = 2632577579915653
BaseRepresentation
bin10011011100000111000111…
…100001000011011101000000
3102012201012200122101210022200
4103130013013201003131000
542201221041331422020
6501455413153033200
724002533441053060
oct2334070741033500
9365635618353280
1085494671357760
11252720a515a335
129709534555800
1338921610c98b2
141717d6d9913a0
159d3da506b590
hex4dc1c7843740

85494671357760 has 672 divisors, whose sum is σ = 336918604019712. Its totient is φ = 19492682711040.

The previous prime is 85494671357743. The next prime is 85494671357813. The reversal of 85494671357760 is 6775317649458.

85494671357760 is a `hidden beast` number, since 8 + 5 + 4 + 9 + 46 + 7 + 1 + 3 + 577 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15123767094 + ... + 15123772746.

Almost surely, 285494671357760 is an apocalyptic number.

85494671357760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85494671357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168459302009856).

85494671357760 is an abundant number, since it is smaller than the sum of its proper divisors (251423932661952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85494671357760 is a wasteful number, since it uses less digits than its factorization.

85494671357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7431 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 85494671357760 in words is "eighty-five trillion, four hundred ninety-four billion, six hundred seventy-one million, three hundred fifty-seven thousand, seven hundred sixty".