75906991125504 has 528 divisors, whose sum is σ = 276333716280960. Its totient is φ = 19494556139520.

The previous prime is 75906991125503. The next prime is 75906991125599. The reversal of 75906991125504 is 40552119960957.

75906991125504 is a `hidden beast` number, since 7 + 5 + 9 + 0 + 6 + 9 + 9 + 112 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75906991125503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62556312 + ... + 63758184.

Almost surely, 2^{75906991125504} 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 75906991125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138166858140480).

75906991125504 is an abundant number, since it is smaller than the sum of its proper divisors (200426725155456).

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

75906991125504 is a wasteful number, since it uses less digits than its factorization.

75906991125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202006 (or 1201985 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 63.

The spelling of 75906991125504 in words is "seventy-five trillion, nine hundred six billion, nine hundred ninety-one million, one hundred twenty-five thousand, five hundred four".