107579054949600 has 1728 divisors, whose sum is σ = 407839676590080. Its totient is φ = 24435752140800.

The previous prime is 107579054949479. The next prime is 107579054949629. The reversal of 107579054949600 is 6949450975701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118088973145 + ... + 118088974055.

It is an arithmetic number, because the mean of its divisors is an integer number (236018331360).

Almost surely, 2^{107579054949600} is an apocalyptic number.

107579054949600 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 107579054949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203919838295040).

107579054949600 is an abundant number, since it is smaller than the sum of its proper divisors (300260621640480).

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

107579054949600 is a wasteful number, since it uses less digits than its factorization.

107579054949600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 66.

The spelling of 107579054949600 in words is "one hundred seven trillion, five hundred seventy-nine billion, fifty-four million, nine hundred forty-nine thousand, six hundred".