54991657480704 has 960 divisors, whose sum is σ = 178657044610176. Its totient is φ = 14973109272576.

The previous prime is 54991657480657. The next prime is 54991657480729. The reversal of 54991657480704 is 40708475619945.

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 95 ways as a sum of consecutive naturals, for example, 31916225187 + ... + 31916226909.

Almost surely, 2^{54991657480704} 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 54991657480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89328522305088).

54991657480704 is an abundant number, since it is smaller than the sum of its proper divisors (123665387129472).

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

54991657480704 is a wasteful number, since it uses less digits than its factorization.

54991657480704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 54991657480704 in words is "fifty-four trillion, nine hundred ninety-one billion, six hundred fifty-seven million, four hundred eighty thousand, seven hundred four".