55997257680 has 720 divisors, whose sum is σ = 240858334080. Its totient is φ = 11402366976.

The previous prime is 55997257649. The next prime is 55997257697. The reversal of 55997257680 is 8675279955.

55997257680 is a `hidden beast` number, since 5 + 59 + 9 + 7 + 2 + 576 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24699907 + ... + 24702173.

It is an arithmetic number, because the mean of its divisors is an integer number (334525464).

Almost surely, 2^55997257680 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 55997257680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120429167040).

55997257680 is an abundant number, since it is smaller than the sum of its proper divisors (184861076400).

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

55997257680 is a wasteful number, since it uses less digits than its factorization.

55997257680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 55997257680 in words is "fifty-five billion, nine hundred ninety-seven million, two hundred fifty-seven thousand, six hundred eighty".