75915141120 has 1344 divisors, whose sum is σ = 338912630784. Its totient is φ = 15288238080.

The previous prime is 75915141103. The next prime is 75915141139. The reversal of 75915141120 is 2114151957.

75915141120 is a `hidden beast` number, since 7 + 591 + 5 + 1 + 41 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1039933404 + ... + 1039933476.

It is an arithmetic number, because the mean of its divisors is an integer number (252167136).

Almost surely, 2^75915141120 is an apocalyptic number.

75915141120 is a gapful number since it is divisible by the number (70) 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 75915141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169456315392).

75915141120 is an abundant number, since it is smaller than the sum of its proper divisors (262997489664).

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

75915141120 is a wasteful number, since it uses less digits than its factorization.

75915141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 75915141120 in words is "seventy-five billion, nine hundred fifteen million, one hundred forty-one thousand, one hundred twenty".