53144502534400 has 108 divisors (see below), whose sum is σ = 131606980667092. Its totient is φ = 21247129681920.

The previous prime is 53144502534397. The next prime is 53144502534407. The reversal of 53144502534400 is 443520544135.

It can be written as a sum of positive squares in 6 ways, for example, as 84583252224 + 53059919282176 = 290832^2 + 7284224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (53144502534407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10671952 + ... + 14838448.

Almost surely, 2^{53144502534400} is an apocalyptic number.

53144502534400 is a gapful number since it is divisible by the number (50) 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 53144502534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65803490333546).

53144502534400 is an abundant number, since it is smaller than the sum of its proper divisors (78462478132692).

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

53144502534400 is a wasteful number, since it uses less digits than its factorization.

53144502534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168516 (or 4168497 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 53144502534400 in words is "fifty-three trillion, one hundred forty-four billion, five hundred two million, five hundred thirty-four thousand, four hundred".