55653302952 has 384 divisors, whose sum is σ = 179262720000. Its totient is φ = 15433431552.

The previous prime is 55653302911. The next prime is 55653302981. The reversal of 55653302952 is 25920335655.

55653302952 is a `hidden beast` number, since 5 + 565 + 3 + 30 + 2 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55653302898 and 55653302907.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146842299 + ... + 146842677.

It is an arithmetic number, because the mean of its divisors is an integer number (466830000).

Almost surely, 2^55653302952 is an apocalyptic number.

55653302952 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 55653302952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360000).

55653302952 is an abundant number, since it is smaller than the sum of its proper divisors (123609417048).

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

55653302952 is a wasteful number, since it uses less digits than its factorization.

55653302952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1215000, while the sum is 45.

The spelling of 55653302952 in words is "fifty-five billion, six hundred fifty-three million, three hundred two thousand, nine hundred fifty-two".