53513010400000 has 432 divisors, whose sum is σ = 135101349835200. Its totient is φ = 21152102400000.

The previous prime is 53513010399899. The next prime is 53513010400117. The reversal of 53513010400000 is 401031535.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24994398930 + ... + 24994401070.

It is an arithmetic number, because the mean of its divisors is an integer number (312734606100).

Almost surely, 2^{53513010400000} is an apocalyptic number.

53513010400000 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 53513010400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67550674917600).

53513010400000 is an abundant number, since it is smaller than the sum of its proper divisors (81588339435200).

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

53513010400000 is an equidigital number, since it uses as much as digits as its factorization.

53513010400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 53513010400000 its reverse (401031535), we get a palindrome (53513411431535).

The spelling of 53513010400000 in words is "fifty-three trillion, five hundred thirteen billion, ten million, four hundred thousand".