253782689040 has 120 divisors (see below), whose sum is σ = 852377730048. Its totient is φ = 67668168960.

The previous prime is 253782689029. The next prime is 253782689051. The reversal of 253782689040 is 40986287352.

253782689040 is a `hidden beast` number, since 2 + 5 + 378 + 268 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253782689029) and next prime (253782689051).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×253782689040² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12984075 + ... + 13003605.

Almost surely, 2^253782689040 is an apocalyptic number.

253782689040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253782689040 is an abundant number, since it is smaller than the sum of its proper divisors (598595041008).

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

253782689040 is a wasteful number, since it uses less digits than its factorization.

253782689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37597 (or 37588 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 253782689040 in words is "two hundred fifty-three billion, seven hundred eighty-two million, six hundred eighty-nine thousand, forty".