75899931120 has 320 divisors, whose sum is σ = 281914872960. Its totient is φ = 18658418688.

The previous prime is 75899931119. The next prime is 75899931181. The reversal of 75899931120 is 2113999857.

75899931120 is a `hidden beast` number, since 7 + 589 + 9 + 9 + 31 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30690204 + ... + 30692676.

It is an arithmetic number, because the mean of its divisors is an integer number (880983978).

Almost surely, 2^75899931120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75899931120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140957436480).

75899931120 is an abundant number, since it is smaller than the sum of its proper divisors (206014941840).

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

75899931120 is a wasteful number, since it uses less digits than its factorization.

75899931120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 75899931120 in words is "seventy-five billion, eight hundred ninety-nine million, nine hundred thirty-one thousand, one hundred twenty".