253625299200 has 1296 divisors, whose sum is σ = 1153721573760. Its totient is φ = 53090795520.

The previous prime is 253625299171. The next prime is 253625299201. The reversal of 253625299200 is 2992526352.

253625299200 is a `hidden beast` number, since 2 + 5 + 36 + 2 + 529 + 92 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (253625299201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1997049537 + ... + 1997049663.

Almost surely, 2^253625299200 is an apocalyptic number.

253625299200 is a gapful number since it is divisible by the number (20) 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 253625299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576860786880).

253625299200 is an abundant number, since it is smaller than the sum of its proper divisors (900096274560).

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

253625299200 is a wasteful number, since it uses less digits than its factorization.

253625299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 253625299200 in words is "two hundred fifty-three billion, six hundred twenty-five million, two hundred ninety-nine thousand, two hundred".