53464174086400 has 729 divisors, whose sum is σ = 169346629837497. Its totient is φ = 16650119270400.

The previous prime is 53464174086371. The next prime is 53464174086431. The reversal of 53464174086400 is 468047146435.

The square root of 53464174086400 is 7311920.

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., 19247102671104 + 34217071415296 = 4387152^2 + 5849536^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 45041426607 + ... + 45041427793.

Almost surely, 2^{53464174086400} is an apocalyptic number.

53464174086400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53464174086400 is the 7311920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53464174086400

53464174086400 is an abundant number, since it is smaller than the sum of its proper divisors (115882455751097).

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

53464174086400 is an equidigital number, since it uses as much as digits as its factorization.

53464174086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 52.

The spelling of 53464174086400 in words is "fifty-three trillion, four hundred sixty-four billion, one hundred seventy-four million, eighty-six thousand, four hundred".