55753431552 has 480 divisors, whose sum is σ = 204476912640. Its totient is φ = 14226554880.

The previous prime is 55753431499. The next prime is 55753431563. The reversal of 55753431552 is 25513435755.

55753431552 is a `hidden beast` number, since 5 + 5 + 7 + 53 + 43 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55753431498 and 55753431507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12997024 + ... + 13001312.

It is an arithmetic number, because the mean of its divisors is an integer number (425993568).

Almost surely, 2^55753431552 is an apocalyptic number.

55753431552 is a gapful number since it is divisible by the number (52) 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 55753431552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102238456320).

55753431552 is an abundant number, since it is smaller than the sum of its proper divisors (148723481088).

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

55753431552 is a wasteful number, since it uses less digits than its factorization.

55753431552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4345 counting only the distinct ones).

The product of its digits is 1575000, while the sum is 45.

The spelling of 55753431552 in words is "fifty-five billion, seven hundred fifty-three million, four hundred thirty-one thousand, five hundred fifty-two".