85112052480 has 1728 divisors, whose sum is σ = 391983341568. Its totient is φ = 17199267840.

The previous prime is 85112052413. The next prime is 85112052481. The reversal of 85112052480 is 8425021158.

85112052480 is a `hidden beast` number, since 8 + 5 + 1 + 120 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×85112052480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85112052481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 877443792 + ... + 877443888.

Almost surely, 2^85112052480 is an apocalyptic number.

85112052480 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 85112052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195991670784).

85112052480 is an abundant number, since it is smaller than the sum of its proper divisors (306871289088).

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

85112052480 is a wasteful number, since it uses less digits than its factorization.

85112052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 85112052480 in words is "eighty-five billion, one hundred twelve million, fifty-two thousand, four hundred eighty".