54029976960 has 128 divisors (see below), whose sum is σ = 173173160160. Its totient is φ = 14328299520.

The previous prime is 54029976953. The next prime is 54029977003. The reversal of 54029976960 is 6967992045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54029976960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269784 + ... + 425256.

Almost surely, 2^54029976960 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 54029976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86586580080).

54029976960 is an abundant number, since it is smaller than the sum of its proper divisors (119143183200).

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

54029976960 is a wasteful number, since it uses less digits than its factorization.

54029976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155676 (or 155664 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 57.

The spelling of 54029976960 in words is "fifty-four billion, twenty-nine million, nine hundred seventy-six thousand, nine hundred sixty".