55577684736 has 324 divisors, whose sum is σ = 193321025352. Its totient is φ = 15878467584.

The previous prime is 55577684717. The next prime is 55577684821. The reversal of 55577684736 is 63748677555.

It is a happy number.

55577684736 is a `hidden beast` number, since 5 + 557 + 7 + 6 + 8 + 4 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×55577684736² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3039076 + ... + 3057308.

Almost surely, 2^55577684736 is an apocalyptic number.

55577684736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55577684736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96660512676).

55577684736 is an abundant number, since it is smaller than the sum of its proper divisors (137743340616).

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

55577684736 is an equidigital number, since it uses as much as digits as its factorization.

55577684736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18278 (or 18245 counting only the distinct ones).

The product of its digits is 148176000, while the sum is 63.

The spelling of 55577684736 in words is "fifty-five billion, five hundred seventy-seven million, six hundred eighty-four thousand, seven hundred thirty-six".