85450891680 has 2304 divisors, whose sum is σ = 422259941376. Its totient is φ = 15765995520.

The previous prime is 85450891661. The next prime is 85450891699. The reversal of 85450891680 is 8619805458.

It is a happy number.

85450891680 is a `hidden beast` number, since 8 + 54 + 508 + 9 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (85450891661) and next prime (85450891699).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1170560124 + ... + 1170560196.

It is an arithmetic number, because the mean of its divisors is an integer number (183272544).

Almost surely, 2^85450891680 is an apocalyptic number.

85450891680 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 85450891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211129970688).

85450891680 is an abundant number, since it is smaller than the sum of its proper divisors (336809049696).

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

85450891680 is a wasteful number, since it uses less digits than its factorization.

85450891680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 85450891680 in words is "eighty-five billion, four hundred fifty million, eight hundred ninety-one thousand, six hundred eighty".