84572520400 has 180 divisors, whose sum is σ = 213170692140. Its totient is φ = 32224819200.

The previous prime is 84572520371. The next prime is 84572520401. The reversal of 84572520400 is 402527548.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10438300224 + 74134220176 = 102168^2 + 272276^2 .

It is a super-2 number, since 2×84572520400² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84572520400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84572520401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30322206 + ... + 30324994.

It is an arithmetic number, because the mean of its divisors is an integer number (1184281623).

Almost surely, 2^84572520400 is an apocalyptic number.

84572520400 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 84572520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106585346070).

84572520400 is an abundant number, since it is smaller than the sum of its proper divisors (128598171740).

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

84572520400 is a wasteful number, since it uses less digits than its factorization.

84572520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 84572520400 in words is "eighty-four billion, five hundred seventy-two million, five hundred twenty thousand, four hundred".