85133376000 has 640 divisors, whose sum is σ = 331177017600. Its totient is φ = 21499084800.

The previous prime is 85133375963. The next prime is 85133376007. The reversal of 85133376000 is 67333158.

85133376000 is a `hidden beast` number, since 8 + 5 + 13 + 3 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×85133376000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85133376007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32830704 + ... + 32833296.

It is an arithmetic number, because the mean of its divisors is an integer number (517464090).

Almost surely, 2^85133376000 is an apocalyptic number.

85133376000 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 85133376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165588508800).

85133376000 is an abundant number, since it is smaller than the sum of its proper divisors (246043641600).

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

85133376000 is a wasteful number, since it uses less digits than its factorization.

85133376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 85133376000 in words is "eighty-five billion, one hundred thirty-three million, three hundred seventy-six thousand".