108938885990400 has 864 divisors, whose sum is σ = 405186686704800. Its totient is φ = 29047950950400.

The previous prime is 108938885990387. The next prime is 108938885990477. The reversal of 108938885990400 is 4099588839801.

108938885990400 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 3 + 8 + 88 + 59 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9069920395 + ... + 9069932405.

It is an arithmetic number, because the mean of its divisors is an integer number (468966072575).

Almost surely, 2^{108938885990400} is an apocalyptic number.

108938885990400 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 108938885990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202593343352400).

108938885990400 is an abundant number, since it is smaller than the sum of its proper divisors (296247800714400).

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

108938885990400 is an frugal number, since it uses more digits than its factorization.

108938885990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076 (or 12021 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 108938885990400 in words is "one hundred eight trillion, nine hundred thirty-eight billion, eight hundred eighty-five million, nine hundred ninety thousand, four hundred".