54129285504 has 640 divisors, whose sum is σ = 194312448000. Its totient is φ = 14936140800.

The previous prime is 54129285481. The next prime is 54129285517. The reversal of 54129285504 is 40558292145.

54129285504 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 92 + 8 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54129285504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110242699 + ... + 110243189.

It is an arithmetic number, because the mean of its divisors is an integer number (303613200).

Almost surely, 2^54129285504 is an apocalyptic number.

54129285504 is a gapful number since it is divisible by the number (54) 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 54129285504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97156224000).

54129285504 is an abundant number, since it is smaller than the sum of its proper divisors (140183162496).

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

54129285504 is an equidigital number, since it uses as much as digits as its factorization.

54129285504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 54129285504 in words is "fifty-four billion, one hundred twenty-nine million, two hundred eighty-five thousand, five hundred four".