85975464960 has 1408 divisors, whose sum is σ = 392206510080. Its totient is φ = 17340825600.

The previous prime is 85975464943. The next prime is 85975464961. The reversal of 85975464960 is 6946457958.

85975464960 is a `hidden beast` number, since 8 + 5 + 97 + 54 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85975464961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 436423582 + ... + 436423778.

It is an arithmetic number, because the mean of its divisors is an integer number (278555760).

Almost surely, 2^85975464960 is an apocalyptic number.

85975464960 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 85975464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196103255040).

85975464960 is an abundant number, since it is smaller than the sum of its proper divisors (306231045120).

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

85975464960 is a wasteful number, since it uses less digits than its factorization.

85975464960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 85975464960 in words is "eighty-five billion, nine hundred seventy-five million, four hundred sixty-four thousand, nine hundred sixty".