54895905792 has 660 divisors, whose sum is σ = 205560395040. Its totient is φ = 14464106496.

The previous prime is 54895905787. The next prime is 54895905811. The reversal of 54895905792 is 29750959845.

54895905792 is a `hidden beast` number, since 5 + 4 + 8 + 9 + 59 + 0 + 579 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 52834809 + ... + 52835847.

It is an arithmetic number, because the mean of its divisors is an integer number (311455144).

Almost surely, 2^54895905792 is an apocalyptic number.

54895905792 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 54895905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102780197520).

54895905792 is an abundant number, since it is smaller than the sum of its proper divisors (150664489248).

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

54895905792 is a wasteful number, since it uses less digits than its factorization.

54895905792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 54895905792 in words is "fifty-four billion, eight hundred ninety-five million, nine hundred five thousand, seven hundred ninety-two".