21731037374592 has 1152 divisors, whose sum is σ = 82846314270720. Its totient is φ = 5546092032000.

The previous prime is 21731037374549. The next prime is 21731037374621. The reversal of 21731037374592 is 29547373013712.

21731037374592 is a `hidden beast` number, since 2 + 1 + 7 + 3 + 10 + 3 + 7 + 37 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1140667467 + ... + 1140686517.

It is an arithmetic number, because the mean of its divisors is an integer number (71915203360).

Almost surely, 2^{21731037374592} 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 21731037374592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41423157135360).

21731037374592 is an abundant number, since it is smaller than the sum of its proper divisors (61115276896128).

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

21731037374592 is a wasteful number, since it uses less digits than its factorization.

21731037374592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19144 (or 19107 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 21731037374592 in words is "twenty-one trillion, seven hundred thirty-one billion, thirty-seven million, three hundred seventy-four thousand, five hundred ninety-two".