109887590400 has 624 divisors, whose sum is σ = 419371860864. Its totient is φ = 24866979840.

The previous prime is 109887590381. The next prime is 109887590401. The reversal of 109887590400 is 4095788901.

It is not an unprimeable number, because it can be changed into a prime (109887590401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294604614 + ... + 294604986.

Almost surely, 2^109887590400 is an apocalyptic number.

109887590400 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 109887590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209685930432).

109887590400 is an abundant number, since it is smaller than the sum of its proper divisors (309484270464).

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

109887590400 is a wasteful number, since it uses less digits than its factorization.

109887590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 109887590400 in words is "one hundred nine billion, eight hundred eighty-seven million, five hundred ninety thousand, four hundred".