54979706880 has 960 divisors, whose sum is σ = 231015214080. Its totient is φ = 12145655808.

The previous prime is 54979706879. The next prime is 54979706891. The reversal of 54979706880 is 8860797945.

54979706880 is a `hidden beast` number, since 5 + 497 + 9 + 7 + 0 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×54979706880² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 820592607 + ... + 820592673.

It is an arithmetic number, because the mean of its divisors is an integer number (240640848).

Almost surely, 2^54979706880 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 54979706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115507607040).

54979706880 is an abundant number, since it is smaller than the sum of its proper divisors (176035507200).

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

54979706880 is an equidigital number, since it uses as much as digits as its factorization.

54979706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 54979706880 in words is "fifty-four billion, nine hundred seventy-nine million, seven hundred six thousand, eight hundred eighty".