54126245124 has 288 divisors, whose sum is σ = 169601402880. Its totient is φ = 14202998784.

The previous prime is 54126245111. The next prime is 54126245143. The reversal of 54126245124 is 42154262145.

54126245124 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 624 + 5 + 1 + 24 = 666.

It is a super-2 number, since 2×54126245124² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 50632062 + ... + 50633130.

It is an arithmetic number, because the mean of its divisors is an integer number (588893760).

Almost surely, 2^54126245124 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 54126245124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84800701440).

54126245124 is an abundant number, since it is smaller than the sum of its proper divisors (115475157756).

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

54126245124 is a wasteful number, since it uses less digits than its factorization.

54126245124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1374 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The spelling of 54126245124 in words is "fifty-four billion, one hundred twenty-six million, two hundred forty-five thousand, one hundred twenty-four".