107520638400 has 1008 divisors, whose sum is σ = 454074556416. Its totient is φ = 23619133440.

The previous prime is 107520638399. The next prime is 107520638431. The reversal of 107520638400 is 4836025701.

107520638400 is a `hidden beast` number, since 1 + 0 + 75 + 206 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 473659087 + ... + 473659313.

Almost surely, 2^107520638400 is an apocalyptic number.

107520638400 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 107520638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227037278208).

107520638400 is an abundant number, since it is smaller than the sum of its proper divisors (346553918016).

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

107520638400 is a wasteful number, since it uses less digits than its factorization.

107520638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 107520638400 in words is "one hundred seven billion, five hundred twenty million, six hundred thirty-eight thousand, four hundred".