253698543504 has 1080 divisors, whose sum is σ = 930383570688. Its totient is φ = 66663959040.

The previous prime is 253698543503. The next prime is 253698543509. The reversal of 253698543504 is 405345896352.

It is a happy number.

253698543504 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 98 + 5 + 43 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (253698543503) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5899966107 + ... + 5899966149.

Almost surely, 2^253698543504 is an apocalyptic number.

253698543504 is a gapful number since it is divisible by the number (24) 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 253698543504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465191785344).

253698543504 is an abundant number, since it is smaller than the sum of its proper divisors (676685027184).

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

253698543504 is an equidigital number, since it uses as much as digits as its factorization.

253698543504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 253698543504 in words is "two hundred fifty-three billion, six hundred ninety-eight million, five hundred forty-three thousand, five hundred four".