54738815265792 has 528 divisors, whose sum is σ = 186125594054400. Its totient is φ = 15167198232576.

The previous prime is 54738815265763. The next prime is 54738815265809. The reversal of 54738815265792 is 29756251883745.

54738815265792 is a `hidden beast` number, since 5 + 4 + 7 + 3 + 8 + 8 + 1 + 526 + 5 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 54738815265792.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732754459 + ... + 732829157.

It is an arithmetic number, because the mean of its divisors is an integer number (352510594800).

Almost surely, 2^{54738815265792} 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 54738815265792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93062797027200).

54738815265792 is an abundant number, since it is smaller than the sum of its proper divisors (131386778788608).

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

54738815265792 is a wasteful number, since it uses less digits than its factorization.

54738815265792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75076 (or 75055 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 72.

The spelling of 54738815265792 in words is "fifty-four trillion, seven hundred thirty-eight billion, eight hundred fifteen million, two hundred sixty-five thousand, seven hundred ninety-two".