253537401600 has 1296 divisors, whose sum is σ = 1121646210048. Its totient is φ = 53314191360.

The previous prime is 253537401589. The next prime is 253537401653. The reversal of 253537401600 is 6104735352.

253537401600 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 3 + 7 + 40 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322156407 + ... + 322157193.

Almost surely, 2^253537401600 is an apocalyptic number.

253537401600 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 253537401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560823105024).

253537401600 is an abundant number, since it is smaller than the sum of its proper divisors (868108808448).

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

253537401600 is a wasteful number, since it uses less digits than its factorization.

253537401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 253537401600 in words is "two hundred fifty-three billion, five hundred thirty-seven million, four hundred one thousand, six hundred".