253955460000 has 480 divisors, whose sum is σ = 922478312448. Its totient is φ = 60635520000.

The previous prime is 253955459999. The next prime is 253955460001. The reversal of 253955460000 is 64559352.

It is an interprime number because it is at equal distance from previous prime (253955459999) and next prime (253955460001).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (253955460001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44217129 + ... + 44222871.

Almost surely, 2^253955460000 is an apocalyptic number.

253955460000 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 253955460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461239156224).

253955460000 is an abundant number, since it is smaller than the sum of its proper divisors (668522852448).

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

253955460000 is a wasteful number, since it uses less digits than its factorization.

253955460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 253955460000 in words is "two hundred fifty-three billion, nine hundred fifty-five million, four hundred sixty thousand".