108572940403200 has 2880 divisors, whose sum is σ = 494132615488512. Its totient is φ = 22156001280000.

The previous prime is 108572940403177. The next prime is 108572940403231. The reversal of 108572940403200 is 2304049275801.

108572940403200 is a `hidden beast` number, since 1 + 0 + 8 + 572 + 9 + 4 + 0 + 40 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×108572940403200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48233202075 + ... + 48233204325.

Almost surely, 2^{108572940403200} is an apocalyptic number.

108572940403200 is a gapful number since it is divisible by the number (10) 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 108572940403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247066307744256).

108572940403200 is an abundant number, since it is smaller than the sum of its proper divisors (385559675085312).

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

108572940403200 is a wasteful number, since it uses less digits than its factorization.

108572940403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 108572940403200 in words is "one hundred eight trillion, five hundred seventy-two billion, nine hundred forty million, four hundred three thousand, two hundred".