55893738700800 has 7560 divisors, whose sum is σ = 297687573213408. Its totient is φ = 10090237132800.

The previous prime is 55893738700747. The next prime is 55893738700823. The reversal of 55893738700800 is 800783739855.

55893738700800 is a `hidden beast` number, since 558 + 9 + 3 + 7 + 3 + 8 + 70 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7560).

It is a super-2 number, since 2×55893738700800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 503 ways as a sum of consecutive naturals, for example, 3287866982392 + ... + 3287866982408.

Almost surely, 2^{55893738700800} is an apocalyptic number.

55893738700800 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 55893738700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148843786606704).

55893738700800 is an abundant number, since it is smaller than the sum of its proper divisors (241793834512608).

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

55893738700800 is a wasteful number, since it uses less digits than its factorization.

55893738700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 55893738700800 in words is "fifty-five trillion, eight hundred ninety-three billion, seven hundred thirty-eight million, seven hundred thousand, eight hundred".