54504829145088 has 1872 divisors, whose sum is σ = 197172714036480. Its totient is φ = 14736332685312.

The previous prime is 54504829145051. The next prime is 54504829145111. The reversal of 54504829145088 is 88054192840545.

54504829145088 is a `hidden beast` number, since 5 + 4 + 5 + 0 + 482 + 9 + 145 + 0 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 529173098445 + ... + 529173098547.

Almost surely, 2^{54504829145088} is an apocalyptic number.

54504829145088 is a gapful number since it is divisible by the number (58) 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 54504829145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98586357018240).

54504829145088 is an abundant number, since it is smaller than the sum of its proper divisors (142667884891392).

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

54504829145088 is an frugal number, since it uses more digits than its factorization.

54504829145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 54504829145088 in words is "fifty-four trillion, five hundred four billion, eight hundred twenty-nine million, one hundred forty-five thousand, eighty-eight".