109680758400 has 192 divisors, whose sum is σ = 362012320800. Its totient is φ = 29187379200.

The previous prime is 109680758399. The next prime is 109680758441. The reversal of 109680758400 is 4857086901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109680758400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4701966 + ... + 4725234.

Almost surely, 2^109680758400 is an apocalyptic number.

109680758400 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 109680758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181006160400).

109680758400 is an abundant number, since it is smaller than the sum of its proper divisors (252331562400).

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

109680758400 is a wasteful number, since it uses less digits than its factorization.

109680758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23787 (or 23770 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 109680758400 in words is "one hundred nine billion, six hundred eighty million, seven hundred fifty-eight thousand, four hundred".