54204079724964 has 405 divisors, whose sum is σ = 155931126745779. Its totient is φ = 16411543799040.

The previous prime is 54204079724953. The next prime is 54204079725007. The reversal of 54204079724964 is 46942797040245.

The square root of 54204079724964 is 7362342.

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

54204079724964 is a `hidden beast` number, since 5 + 4 + 2 + 0 + 4 + 0 + 79 + 72 + 496 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5452962884964 + 48751116840000 = 2335158^2 + 6982200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 125763525829 + ... + 125763526259.

Almost surely, 2^{54204079724964} is an apocalyptic number.

54204079724964 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

54204079724964 is the 7362342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54204079724964

54204079724964 is an abundant number, since it is smaller than the sum of its proper divisors (101727047020815).

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

54204079724964 is an equidigital number, since it uses as much as digits as its factorization.

54204079724964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 54204079724964 in words is "fifty-four trillion, two hundred four billion, seventy-nine million, seven hundred twenty-four thousand, nine hundred sixty-four".