54792275136 has 448 divisors, whose sum is σ = 167236005888. Its totient is φ = 15734996992.

The previous prime is 54792275123. The next prime is 54792275141. The reversal of 54792275136 is 63157229745.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187004206 + ... + 187004498.

It is an arithmetic number, because the mean of its divisors is an integer number (373294656).

Almost surely, 2^54792275136 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 54792275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83618002944).

54792275136 is an abundant number, since it is smaller than the sum of its proper divisors (112443730752).

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

54792275136 is a wasteful number, since it uses less digits than its factorization.

54792275136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 438 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 51.

The spelling of 54792275136 in words is "fifty-four billion, seven hundred ninety-two million, two hundred seventy-five thousand, one hundred thirty-six".