55646134272 has 280 divisors, whose sum is σ = 176055846516. Its totient is φ = 17454071808.

The previous prime is 55646134231. The next prime is 55646134277. The reversal of 55646134272 is 27243164655.

55646134272 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 613 + 4 + 27 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55499821056 + 146313216 = 235584^2 + 12096^2 .

It is not an unprimeable number, because it can be changed into a prime (55646134277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11277918 + ... + 11282850.

Almost surely, 2^55646134272 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 55646134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88027923258).

55646134272 is an abundant number, since it is smaller than the sum of its proper divisors (120409712244).

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

55646134272 is an equidigital number, since it uses as much as digits as its factorization.

55646134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4988 (or 4955 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 55646134272 in words is "fifty-five billion, six hundred forty-six million, one hundred thirty-four thousand, two hundred seventy-two".