109377206400 has 768 divisors, whose sum is σ = 455085158400. Its totient is φ = 22428057600.

The previous prime is 109377206371. The next prime is 109377206441. The reversal of 109377206400 is 4602773901.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58395864 + ... + 58397736.

It is an arithmetic number, because the mean of its divisors is an integer number (592558800).

Almost surely, 2^109377206400 is an apocalyptic number.

109377206400 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 109377206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227542579200).

109377206400 is an abundant number, since it is smaller than the sum of its proper divisors (345707952000).

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

109377206400 is a wasteful number, since it uses less digits than its factorization.

109377206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 109377206400 in words is "one hundred nine billion, three hundred seventy-seven million, two hundred six thousand, four hundred".