55883031926400 has 2304 divisors, whose sum is σ = 243393269333760. Its totient is φ = 12396850053120.

The previous prime is 55883031926377. The next prime is 55883031926411. The reversal of 55883031926400 is 462913038855.

55883031926400 is a `hidden beast` number, since 5 + 588 + 3 + 0 + 3 + 19 + 2 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 27983490202 + ... + 27983492198.

It is an arithmetic number, because the mean of its divisors is an integer number (105639439815).

Almost surely, 2^{55883031926400} is an apocalyptic number.

55883031926400 is a gapful number since it is divisible by the number (50) 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 55883031926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121696634666880).

55883031926400 is an abundant number, since it is smaller than the sum of its proper divisors (187510237407360).

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

55883031926400 is a wasteful number, since it uses less digits than its factorization.

55883031926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 55883031926400 in words is "fifty-five trillion, eight hundred eighty-three billion, thirty-one million, nine hundred twenty-six thousand, four hundred".