253600956000 has 960 divisors, whose sum is σ = 1098391117824. Its totient is φ = 56080512000.

The previous prime is 253600955999. The next prime is 253600956043. The reversal of 253600956000 is 659006352.

It is a super-2 number, since 2×253600956000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70306197 + ... + 70309803.

Almost surely, 2^253600956000 is an apocalyptic number.

253600956000 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 253600956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549195558912).

253600956000 is an abundant number, since it is smaller than the sum of its proper divisors (844790161824).

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

253600956000 is a wasteful number, since it uses less digits than its factorization.

253600956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 253600956000 in words is "two hundred fifty-three billion, six hundred million, nine hundred fifty-six thousand".