53134807025200 has 240 divisors, whose sum is σ = 134727064416000. Its totient is φ = 20082627302400.

The previous prime is 53134807025197. The next prime is 53134807025221. The reversal of 53134807025200 is 252070843135.

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

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, 5376379459 + ... + 5376389341.

It is an arithmetic number, because the mean of its divisors is an integer number (561362768400).

Almost surely, 2^{53134807025200} is an apocalyptic number.

53134807025200 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 53134807025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67363532208000).

53134807025200 is an abundant number, since it is smaller than the sum of its proper divisors (81592257390800).

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

53134807025200 is a wasteful number, since it uses less digits than its factorization.

53134807025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11700 (or 11689 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 53134807025200 its reverse (252070843135), we get a palindrome (53386877868335).

The spelling of 53134807025200 in words is "fifty-three trillion, one hundred thirty-four billion, eight hundred seven million, twenty-five thousand, two hundred".