55733813856 has 720 divisors, whose sum is σ = 202236604416. Its totient is φ = 14743669248.

The previous prime is 55733813809. The next prime is 55733813857. The reversal of 55733813856 is 65831833755.

55733813856 is a `hidden beast` number, since 5 + 573 + 3 + 8 + 13 + 8 + 56 = 666.

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

Its product of digits (9072000) is a multiple of the sum of its prime divisors (225).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55733813857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 438848865 + ... + 438848991.

Almost surely, 2^55733813856 is an apocalyptic number.

55733813856 is a gapful number since it is divisible by the number (56) 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 55733813856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101118302208).

55733813856 is an abundant number, since it is smaller than the sum of its proper divisors (146502790560).

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

55733813856 is a wasteful number, since it uses less digits than its factorization.

55733813856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 225 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 55733813856 in words is "fifty-five billion, seven hundred thirty-three million, eight hundred thirteen thousand, eight hundred fifty-six".