85953871872 has 460 divisors, whose sum is σ = 292326176736. Its totient is φ = 24914165760.

The previous prime is 85953871841. The next prime is 85953871877. The reversal of 85953871872 is 27817835958.

85953871872 is a `hidden beast` number, since 8 + 595 + 38 + 7 + 1 + 8 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (33868800) is a multiple of the sum of its prime factors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85953871877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3737124853 + ... + 3737124875.

Almost surely, 2^85953871872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85953871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146163088368).

85953871872 is an abundant number, since it is smaller than the sum of its proper divisors (206372304864).

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

85953871872 is an frugal number, since it uses more digits than its factorization.

85953871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 39 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 85953871872 in words is "eighty-five billion, nine hundred fifty-three million, eight hundred seventy-one thousand, eight hundred seventy-two".