55798977890304 has 768 divisors, whose sum is σ = 192920652288000. Its totient is φ = 15756042240000.

The previous prime is 55798977890267. The next prime is 55798977890321. The reversal of 55798977890304 is 40309877989755.

55798977890304 is a `hidden beast` number, since 5 + 5 + 79 + 8 + 97 + 78 + 90 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×55798977890304² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 704929129 + ... + 705008279.

It is an arithmetic number, because the mean of its divisors is an integer number (251198766000).

Almost surely, 2^{55798977890304} is an apocalyptic number.

55798977890304 is a gapful number since it is divisible by the number (54) 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 55798977890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96460326144000).

55798977890304 is an abundant number, since it is smaller than the sum of its proper divisors (137121674397696).

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

55798977890304 is a wasteful number, since it uses less digits than its factorization.

55798977890304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79273 (or 79247 counting only the distinct ones).

The product of its (nonzero) digits is 4800902400, while the sum is 81.

The spelling of 55798977890304 in words is "fifty-five trillion, seven hundred ninety-eight billion, nine hundred seventy-seven million, eight hundred ninety thousand, three hundred four".