5877561436992 has 504 divisors, whose sum is σ = 20331930278400. Its totient is φ = 1616917800960.

The previous prime is 5877561436987. The next prime is 5877561437063. The reversal of 5877561436992 is 2996341657785.

5877561436992 is a `hidden beast` number, since 58 + 7 + 7 + 56 + 1 + 436 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5877561436992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174096978 + ... + 174130734.

Almost surely, 2^{5877561436992} 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 5877561436992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10165965139200).

5877561436992 is an abundant number, since it is smaller than the sum of its proper divisors (14454368841408).

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

5877561436992 is a wasteful number, since it uses less digits than its factorization.

5877561436992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34019 (or 33999 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 5877561436992 in words is "five trillion, eight hundred seventy-seven billion, five hundred sixty-one million, four hundred thirty-six thousand, nine hundred ninety-two".