253756122840 has 864 divisors, whose sum is σ = 964048765680. Its totient is φ = 60046272000.

The previous prime is 253756122833. The next prime is 253756122871. The reversal of 253756122840 is 48221657352.

253756122840 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 5 + 612 + 28 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1937069575 + ... + 1937069705.

Almost surely, 2^253756122840 is an apocalyptic number.

253756122840 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 253756122840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482024382840).

253756122840 is an abundant number, since it is smaller than the sum of its proper divisors (710292642840).

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

253756122840 is a wasteful number, since it uses less digits than its factorization.

253756122840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 253756122840 in words is "two hundred fifty-three billion, seven hundred fifty-six million, one hundred twenty-two thousand, eight hundred forty".