55902319200 has 864 divisors, whose sum is σ = 248652960192. Its totient is φ = 11501568000.

The previous prime is 55902319181. The next prime is 55902319211. The reversal of 55902319200 is 291320955.

It is a happy number.

55902319200 is a `hidden beast` number, since 55 + 90 + 2 + 319 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26862160 + ... + 26864240.

It is an arithmetic number, because the mean of its divisors is an integer number (287792778).

Almost surely, 2^55902319200 is an apocalyptic number.

55902319200 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 55902319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124326480096).

55902319200 is an abundant number, since it is smaller than the sum of its proper divisors (192750640992).

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

55902319200 is a wasteful number, since it uses less digits than its factorization.

55902319200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 55902319200 in words is "fifty-five billion, nine hundred two million, three hundred nineteen thousand, two hundred".