54830589133824 has 495 divisors, whose sum is σ = 190518950795877. Its totient is φ = 15661617463296.

The previous prime is 54830589133819. The next prime is 54830589133897. The reversal of 54830589133824 is 42833198503845.

The square root of 54830589133824 is 7404768.

It is a perfect power (a square), and thus also a powerful number.

54830589133824 is a `hidden beast` number, since 5 + 4 + 8 + 3 + 0 + 589 + 13 + 38 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3553074201600 + 51277514932224 = 1884960^2 + 7160832^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14928010452 + ... + 14928014124.

Almost surely, 2^{54830589133824} is an apocalyptic number.

54830589133824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54830589133824 is the 7404768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54830589133824

54830589133824 is an abundant number, since it is smaller than the sum of its proper divisors (135688361662053).

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

54830589133824 is an frugal number, since it uses more digits than its factorization.

54830589133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7392 (or 3685 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 54830589133824 in words is "fifty-four trillion, eight hundred thirty billion, five hundred eighty-nine million, one hundred thirty-three thousand, eight hundred twenty-four".