253731824640 has 792 divisors, whose sum is σ = 1060923090240. Its totient is φ = 54918217728.

The previous prime is 253731824503. The next prime is 253731824677. The reversal of 253731824640 is 46428137352.

253731824640 is a `hidden beast` number, since 2 + 5 + 3 + 7 + 3 + 182 + 464 + 0 = 666.

It is a super-2 number, since 2×253731824640² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116443071 + ... + 116445249.

Almost surely, 2^253731824640 is an apocalyptic number.

253731824640 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 253731824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530461545120).

253731824640 is an abundant number, since it is smaller than the sum of its proper divisors (807191265600).

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

253731824640 is a wasteful number, since it uses less digits than its factorization.

253731824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 253731824640 in words is "two hundred fifty-three billion, seven hundred thirty-one million, eight hundred twenty-four thousand, six hundred forty".