55971586993920 has 1152 divisors, whose sum is σ = 221485532405760. Its totient is φ = 11888303800320.

The previous prime is 55971586993909. The next prime is 55971586993979. The reversal of 55971586993920 is 2939968517955.

55971586993920 is digitally balanced in base 5 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 499792972 + ... + 499904948.

It is an arithmetic number, because the mean of its divisors is an integer number (192261746880).

Almost surely, 2^{55971586993920} 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 55971586993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110742766202880).

55971586993920 is an abundant number, since it is smaller than the sum of its proper divisors (165513945411840).

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

55971586993920 is a wasteful number, since it uses less digits than its factorization.

55971586993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112081 (or 112067 counting only the distinct ones).

The product of its (nonzero) digits is 1653372000, while the sum is 78.

The spelling of 55971586993920 in words is "fifty-five trillion, nine hundred seventy-one billion, five hundred eighty-six million, nine hundred ninety-three thousand, nine hundred twenty".