54966431520 has 1920 divisors, whose sum is σ = 275393986560. Its totient is φ = 9943326720.

The previous prime is 54966431497. The next prime is 54966431537. The reversal of 54966431520 is 2513466945.

54966431520 is a `hidden beast` number, since 5 + 4 + 96 + 6 + 4 + 31 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 246486129 + ... + 246486351.

It is an arithmetic number, because the mean of its divisors is an integer number (143434368).

Almost surely, 2^54966431520 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 54966431520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137696993280).

54966431520 is an abundant number, since it is smaller than the sum of its proper divisors (220427555040).

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

54966431520 is a wasteful number, since it uses less digits than its factorization.

54966431520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 54966431520 in words is "fifty-four billion, nine hundred sixty-six million, four hundred thirty-one thousand, five hundred twenty".