54815978880 has 768 divisors, whose sum is σ = 222678892800. Its totient is φ = 12774039552.

The previous prime is 54815978863. The next prime is 54815978927. The reversal of 54815978880 is 8887951845.

54815978880 is a `hidden beast` number, since 5 + 481 + 5 + 9 + 78 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38412727 + ... + 38414153.

It is an arithmetic number, because the mean of its divisors is an integer number (289946475).

Almost surely, 2^54815978880 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 54815978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111339446400).

54815978880 is an abundant number, since it is smaller than the sum of its proper divisors (167862913920).

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

54815978880 is a wasteful number, since it uses less digits than its factorization.

54815978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 54815978880 in words is "fifty-four billion, eight hundred fifteen million, nine hundred seventy-eight thousand, eight hundred eighty".