107879981328 has 320 divisors, whose sum is σ = 362119680000. Its totient is φ = 30737121408.

The previous prime is 107879981227. The next prime is 107879981329. The reversal of 107879981328 is 823189978701.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (107879981329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69197413 + ... + 69198971.

It is an arithmetic number, because the mean of its divisors is an integer number (1131624000).

Almost surely, 2^107879981328 is an apocalyptic number.

107879981328 is a gapful number since it is divisible by the number (18) 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 107879981328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059840000).

107879981328 is an abundant number, since it is smaller than the sum of its proper divisors (254239698672).

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

107879981328 is a wasteful number, since it uses less digits than its factorization.

107879981328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 107879981328 in words is "one hundred seven billion, eight hundred seventy-nine million, nine hundred eighty-one thousand, three hundred twenty-eight".