55785237235200 has 960 divisors, whose sum is σ = 223507784586240. Its totient is φ = 13515558912000.

The previous prime is 55785237235193. The next prime is 55785237235261. The reversal of 55785237235200 is 253273258755.

55785237235200 is a `hidden beast` number, since 5 + 5 + 7 + 85 + 2 + 37 + 2 + 3 + 520 + 0 = 666.

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

It is a super-2 number, since 2×55785237235200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 8443350297 + ... + 8443356903.

It is an arithmetic number, because the mean of its divisors is an integer number (232820608944).

Almost surely, 2^{55785237235200} is an apocalyptic number.

55785237235200 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 55785237235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111753892293120).

55785237235200 is an abundant number, since it is smaller than the sum of its proper divisors (167722547351040).

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

55785237235200 is a wasteful number, since it uses less digits than its factorization.

55785237235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 17640000, while the sum is 54.

The spelling of 55785237235200 in words is "fifty-five trillion, seven hundred eighty-five billion, two hundred thirty-seven million, two hundred thirty-five thousand, two hundred".