253261578240 has 816 divisors, whose sum is σ = 988329865536. Its totient is φ = 59454259200.

The previous prime is 253261578239. The next prime is 253261578247. The reversal of 253261578240 is 42875162352.

253261578240 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 615 + 7 + 8 + 24 + 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 not an unprimeable number, because it can be changed into a prime (253261578247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200291735 + ... + 1200291945.

Almost surely, 2^253261578240 is an apocalyptic number.

253261578240 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 253261578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494164932768).

253261578240 is an abundant number, since it is smaller than the sum of its proper divisors (735068287296).

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

253261578240 is a wasteful number, since it uses less digits than its factorization.

253261578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 269 counting only the distinct ones).

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

The spelling of 253261578240 in words is "two hundred fifty-three billion, two hundred sixty-one million, five hundred seventy-eight thousand, two hundred forty".