253662823680 has 864 divisors, whose sum is σ = 982738848000. Its totient is φ = 55736303616.

The previous prime is 253662823663. The next prime is 253662823681. The reversal of 253662823680 is 86328266352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253662823681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1107697806 + ... + 1107698034.

Almost surely, 2^253662823680 is an apocalyptic number.

253662823680 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 253662823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491369424000).

253662823680 is an abundant number, since it is smaller than the sum of its proper divisors (729076024320).

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

253662823680 is an equidigital number, since it uses as much as digits as its factorization.

253662823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 253662823680 in words is "two hundred fifty-three billion, six hundred sixty-two million, eight hundred twenty-three thousand, six hundred eighty".