75801132992 has 112 divisors (see below), whose sum is σ = 172280092320. Its totient is φ = 32780746752.

The previous prime is 75801132991. The next prime is 75801132997. The reversal of 75801132992 is 29923110857.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75801132991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3198884 + ... + 3222492.

It is an arithmetic number, because the mean of its divisors is an integer number (1538215110).

Almost surely, 2^75801132992 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 75801132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86140046160).

75801132992 is an abundant number, since it is smaller than the sum of its proper divisors (96478959328).

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

75801132992 is a wasteful number, since it uses less digits than its factorization.

75801132992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23878 (or 23868 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 75801132992 in words is "seventy-five billion, eight hundred one million, one hundred thirty-two thousand, nine hundred ninety-two".