55511688960 has 1152 divisors, whose sum is σ = 255483648000. Its totient is φ = 11083972608.

The previous prime is 55511688949. The next prime is 55511689001. The reversal of 55511688960 is 6988611555.

55511688960 is a `hidden beast` number, since 5 + 5 + 511 + 68 + 8 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×55511688960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55511688897 and 55511688906.

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, 59753776 + ... + 59754704.

It is an arithmetic number, because the mean of its divisors is an integer number (221774000).

Almost surely, 2^55511688960 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 55511688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127741824000).

55511688960 is an abundant number, since it is smaller than the sum of its proper divisors (199971959040).

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

55511688960 is a wasteful number, since it uses less digits than its factorization.

55511688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 55511688960 in words is "fifty-five billion, five hundred eleven million, six hundred eighty-eight thousand, nine hundred sixty".