55989077760 has 1296 divisors, whose sum is σ = 251254628352. Its totient is φ = 11379916800.

The previous prime is 55989077741. The next prime is 55989077761. The reversal of 55989077760 is 6777098955.

55989077760 is a `hidden beast` number, since 559 + 8 + 9 + 0 + 7 + 7 + 76 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55989077761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 440858817 + ... + 440858943.

It is an arithmetic number, because the mean of its divisors is an integer number (193869312).

Almost surely, 2^55989077760 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 55989077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125627314176).

55989077760 is an abundant number, since it is smaller than the sum of its proper divisors (195265550592).

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

55989077760 is a wasteful number, since it uses less digits than its factorization.

55989077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The spelling of 55989077760 in words is "fifty-five billion, nine hundred eighty-nine million, seventy-seven thousand, seven hundred sixty".