53130022334400 has 336 divisors, whose sum is σ = 191840008382208. Its totient is φ = 12766021632000.

The previous prime is 53130022334353. The next prime is 53130022334407. The reversal of 53130022334400 is 443322003135.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53130022334407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513965 + ... + 10418835.

Almost surely, 2^{53130022334400} is an apocalyptic number.

53130022334400 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 53130022334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95920004191104).

53130022334400 is an abundant number, since it is smaller than the sum of its proper divisors (138709986047808).

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

53130022334400 is a wasteful number, since it uses less digits than its factorization.

53130022334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905020 (or 8905005 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 53130022334400 its reverse (443322003135), we get a palindrome (53573344337535).

The spelling of 53130022334400 in words is "fifty-three trillion, one hundred thirty billion, twenty-two million, three hundred thirty-four thousand, four hundred".