54540412992 has 672 divisors, whose sum is σ = 187696035072. Its totient is φ = 15568920576.

The previous prime is 54540412963. The next prime is 54540413027. The reversal of 54540412992 is 29921404545.

54540412992 is a `hidden beast` number, since 5 + 4 + 540 + 4 + 12 + 9 + 92 = 666.

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, 172051618 + ... + 172051934.

It is an arithmetic number, because the mean of its divisors is an integer number (279309576).

Almost surely, 2^54540412992 is an apocalyptic number.

54540412992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54540412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93848017536).

54540412992 is an abundant number, since it is smaller than the sum of its proper divisors (133155622080).

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

54540412992 is a wasteful number, since it uses less digits than its factorization.

54540412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 54540412992 in words is "fifty-four billion, five hundred forty million, four hundred twelve thousand, nine hundred ninety-two".