55738022400 has 960 divisors, whose sum is σ = 221940259200. Its totient is φ = 13648527360.

The previous prime is 55738022387. The next prime is 55738022411. The reversal of 55738022400 is 422083755.

55738022400 is a `hidden beast` number, since 5 + 57 + 380 + 224 + 0 + 0 = 666.

55738022400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 311385511 + ... + 311385689.

It is an arithmetic number, because the mean of its divisors is an integer number (231187770).

Almost surely, 2^55738022400 is an apocalyptic number.

55738022400 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 55738022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110970129600).

55738022400 is an abundant number, since it is smaller than the sum of its proper divisors (166202236800).

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

55738022400 is a wasteful number, since it uses less digits than its factorization.

55738022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 55738022400 in words is "fifty-five billion, seven hundred thirty-eight million, twenty-two thousand, four hundred".