54988174200960 has 3072 divisors, whose sum is σ = 266253018624000. Its totient is φ = 10543688663040.

The previous prime is 54988174200959. The next prime is 54988174200997. The reversal of 54988174200960 is 6900247188945.

54988174200960 is a `hidden beast` number, since 5 + 49 + 8 + 81 + 7 + 420 + 0 + 96 + 0 = 666.

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

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 18214034331 + ... + 18214037349.

It is an arithmetic number, because the mean of its divisors is an integer number (86670904500).

Almost surely, 2^{54988174200960} 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 54988174200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133126509312000).

54988174200960 is an abundant number, since it is smaller than the sum of its proper divisors (211264844423040).

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

54988174200960 is a wasteful number, since it uses less digits than its factorization.

54988174200960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 54988174200960 in words is "fifty-four trillion, nine hundred eighty-eight billion, one hundred seventy-four million, two hundred thousand, nine hundred sixty".