54820977759360 has 896 divisors, whose sum is σ = 203330128953600. Its totient is φ = 14118054838272.

The previous prime is 54820977759341. The next prime is 54820977759371. The reversal of 54820977759360 is 6395777902845.

54820977759360 is a `hidden beast` number, since 5 + 4 + 8 + 20 + 9 + 7 + 7 + 7 + 593 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 111 ways as a sum of consecutive naturals, for example, 1785509769 + ... + 1785540471.

Almost surely, 2^{54820977759360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54820977759360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101665064476800).

54820977759360 is an abundant number, since it is smaller than the sum of its proper divisors (148509151194240).

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

54820977759360 is an equidigital number, since it uses as much as digits as its factorization.

54820977759360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30872 (or 30845 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 54820977759360 in words is "fifty-four trillion, eight hundred twenty billion, nine hundred seventy-seven million, seven hundred fifty-nine thousand, three hundred sixty".