85996572480 has 784 divisors, whose sum is σ = 377974579584. Its totient is φ = 18139852800.

The previous prime is 85996572469. The next prime is 85996572481. The reversal of 85996572480 is 8427569958.

85996572480 is a `hidden beast` number, since 8 + 5 + 99 + 65 + 7 + 2 + 480 = 666.

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 (85996572481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21226455 + ... + 21230505.

Almost surely, 2^85996572480 is an apocalyptic number.

85996572480 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 85996572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987289792).

85996572480 is an abundant number, since it is smaller than the sum of its proper divisors (291978007104).

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

85996572480 is a wasteful number, since it uses less digits than its factorization.

85996572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4081 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 85996572480 in words is "eighty-five billion, nine hundred ninety-six million, five hundred seventy-two thousand, four hundred eighty".