253040357700 has 288 divisors, whose sum is σ = 888400638720. Its totient is φ = 61408972800.

The previous prime is 253040357693. The next prime is 253040357701. The reversal of 253040357700 is 7753040352.

253040357700 is a `hidden beast` number, since 2 + 530 + 4 + 0 + 3 + 57 + 70 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (253040357701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2441332 + ... + 2542868.

It is an arithmetic number, because the mean of its divisors is an integer number (3084724440).

Almost surely, 2^253040357700 is an apocalyptic number.

253040357700 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 253040357700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444200319360).

253040357700 is an abundant number, since it is smaller than the sum of its proper divisors (635360281020).

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

253040357700 is a wasteful number, since it uses less digits than its factorization.

253040357700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101644 (or 101631 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 253040357700 in words is "two hundred fifty-three billion, forty million, three hundred fifty-seven thousand, seven hundred".