55400933952 has 336 divisors, whose sum is σ = 198657618432. Its totient is φ = 14370877440.

The previous prime is 55400933893. The next prime is 55400933981. The reversal of 55400933952 is 25933900455.

55400933952 is a `hidden beast` number, since 554 + 0 + 0 + 9 + 3 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 55400933898 and 55400933907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3188713 + ... + 3206039.

It is an arithmetic number, because the mean of its divisors is an integer number (591242912).

Almost surely, 2^55400933952 is an apocalyptic number.

55400933952 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 55400933952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99328809216).

55400933952 is an abundant number, since it is smaller than the sum of its proper divisors (143256684480).

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

55400933952 is a wasteful number, since it uses less digits than its factorization.

55400933952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17426 (or 17413 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 55400933952 in words is "fifty-five billion, four hundred million, nine hundred thirty-three thousand, nine hundred fifty-two".