55736357760 has 384 divisors, whose sum is σ = 208771486560. Its totient is φ = 13646561280.

The previous prime is 55736357753. The next prime is 55736357771. The reversal of 55736357760 is 6775363755.

55736357760 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 6 + 3 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 55736357697 and 55736357706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4007779 + ... + 4021661.

Almost surely, 2^55736357760 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 55736357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104385743280).

55736357760 is an abundant number, since it is smaller than the sum of its proper divisors (153035128800).

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

55736357760 is a wasteful number, since it uses less digits than its factorization.

55736357760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13966 (or 13951 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 54.

The spelling of 55736357760 in words is "fifty-five billion, seven hundred thirty-six million, three hundred fifty-seven thousand, seven hundred sixty".