253125633949800 has 192 divisors, whose sum is σ = 825506161992000. Its totient is φ = 64067956807680.

The previous prime is 253125633949763. The next prime is 253125633949801. The reversal of 253125633949800 is 8949336521352.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (253125633949801) 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, 122256877 + ... + 124310076.

It is an arithmetic number, because the mean of its divisors is an integer number (4299511260375).

Almost surely, 2^{253125633949800} is an apocalyptic number.

253125633949800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253125633949800 is an abundant number, since it is smaller than the sum of its proper divisors (572380528042200).

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

253125633949800 is a wasteful number, since it uses less digits than its factorization.

253125633949800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246567060 (or 246567051 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 253125633949800 in words is "two hundred fifty-three trillion, one hundred twenty-five billion, six hundred thirty-three million, nine hundred forty-nine thousand, eight hundred".