55759616273088 has 504 divisors, whose sum is σ = 210758099763120. Its totient is φ = 13931839918080.

The previous prime is 55759616273077. The next prime is 55759616273089. The reversal of 55759616273088 is 88037261695755.

55759616273088 is a `hidden beast` number, since 5 + 5 + 7 + 596 + 1 + 6 + 27 + 3 + 0 + 8 + 8 = 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 not an unprimeable number, because it can be changed into a prime (55759616273089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2972118 + ... + 10970538.

Almost surely, 2^{55759616273088} 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 55759616273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105379049881560).

55759616273088 is an abundant number, since it is smaller than the sum of its proper divisors (154998483490032).

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

55759616273088 is a wasteful number, since it uses less digits than its factorization.

55759616273088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7998485 (or 7998465 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 72.

The spelling of 55759616273088 in words is "fifty-five trillion, seven hundred fifty-nine billion, six hundred sixteen million, two hundred seventy-three thousand, eighty-eight".