55957340160 has 420 divisors, whose sum is σ = 201563054868. Its totient is φ = 14906032128.

The previous prime is 55957340149. The next prime is 55957340161. The reversal of 55957340160 is 6104375955.

55957340160 is a `hidden beast` number, since 5 + 595 + 7 + 3 + 40 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10044850176 + 45912489984 = 100224^2 + 214272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55957340161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719212 + ... + 59720148.

Almost surely, 2^55957340160 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 55957340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100781527434).

55957340160 is an abundant number, since it is smaller than the sum of its proper divisors (145605714708).

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

55957340160 is an frugal number, since it uses more digits than its factorization.

55957340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 55957340160 in words is "fifty-five billion, nine hundred fifty-seven million, three hundred forty thousand, one hundred sixty".