73888031520000 has 900 divisors, whose sum is σ = 275543575406176. Its totient is φ = 19686965760000.

The previous prime is 73888031519927. The next prime is 73888031520011. The reversal of 73888031520000 is 2513088837.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 29950558767 + ... + 29950561233.

Almost surely, 2^{73888031520000} 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 73888031520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137771787703088).

73888031520000 is an abundant number, since it is smaller than the sum of its proper divisors (201655543886176).

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

73888031520000 is an equidigital number, since it uses as much as digits as its factorization.

73888031520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4788 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 73888031520000 in words is "seventy-three trillion, eight hundred eighty-eight billion, thirty-one million, five hundred twenty thousand".