54264143616400 has 135 divisors (see below), whose sum is σ = 130823178279681. Its totient is φ = 21630402099840.

The previous prime is 54264143616257. The next prime is 54264143616413. The reversal of 54264143616400 is 461634146245.

The square root of 54264143616400 is 7366420.

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

It can be written as a sum of positive squares in only one way, i.e., 19535091701904 + 34729051914496 = 4419852^2 + 5893136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64677167181 + ... + 64677168019.

Almost surely, 2^{54264143616400} is an apocalyptic number.

54264143616400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54264143616400 is the 7366420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54264143616400

54264143616400 is an abundant number, since it is smaller than the sum of its proper divisors (76559034663281).

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

54264143616400 is an frugal number, since it uses more digits than its factorization.

54264143616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 46.

The spelling of 54264143616400 in words is "fifty-four trillion, two hundred sixty-four billion, one hundred forty-three million, six hundred sixteen thousand, four hundred".