55774956672 has 320 divisors, whose sum is σ = 174581292600. Its totient is φ = 17650483200.

The previous prime is 55774956661. The next prime is 55774956673. The reversal of 55774956672 is 27665947755.

55774956672 is a `hidden beast` number, since 5 + 5 + 77 + 495 + 6 + 6 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48763238976 + 7011717696 = 220824^2 + 83736^2 .

It is a super-2 number, since 2×55774956672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55774956673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18339472 + ... + 18342512.

Almost surely, 2^55774956672 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 55774956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87290646300).

55774956672 is an abundant number, since it is smaller than the sum of its proper divisors (118806335928).

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

55774956672 is a wasteful number, since it uses less digits than its factorization.

55774956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3136 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 63.

The spelling of 55774956672 in words is "fifty-five billion, seven hundred seventy-four million, nine hundred fifty-six thousand, six hundred seventy-two".