55473768000 has 896 divisors, whose sum is σ = 244971417600. Its totient is φ = 12006144000.

The previous prime is 55473767989. The next prime is 55473768001. The reversal of 55473768000 is 86737455.

55473768000 is a `hidden beast` number, since 554 + 7 + 37 + 68 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×55473768000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55473768001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 28727035 + ... + 28728965.

It is an arithmetic number, because the mean of its divisors is an integer number (273405600).

Almost surely, 2^55473768000 is an apocalyptic number.

55473768000 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 55473768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122485708800).

55473768000 is an abundant number, since it is smaller than the sum of its proper divisors (189497649600).

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

55473768000 is a wasteful number, since it uses less digits than its factorization.

55473768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 55473768000 in words is "fifty-five billion, four hundred seventy-three million, seven hundred sixty-eight thousand".