107880538550400 has 2304 divisors, whose sum is σ = 505827153561600. Its totient is φ = 21210041548800.

The previous prime is 107880538550377. The next prime is 107880538550417. The reversal of 107880538550400 is 4055835088701.

107880538550400 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 8 + 0 + 53 + 85 + 504 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57597723864 + ... + 57597725736.

It is an arithmetic number, because the mean of its divisors is an integer number (219543035400).

Almost surely, 2^{107880538550400} is an apocalyptic number.

107880538550400 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 107880538550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252913576780800).

107880538550400 is an abundant number, since it is smaller than the sum of its proper divisors (397946615011200).

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

107880538550400 is a wasteful number, since it uses less digits than its factorization.

107880538550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3307 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 107880538550400 in words is "one hundred seven trillion, eight hundred eighty billion, five hundred thirty-eight million, five hundred fifty thousand, four hundred".