253419110400 has 180 divisors, whose sum is σ = 837951015272. Its totient is φ = 67578101760.

The previous prime is 253419110389. The next prime is 253419110419. The reversal of 253419110400 is 4011914352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125684 + ... + 1331916.

Almost surely, 2^253419110400 is an apocalyptic number.

253419110400 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 253419110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418975507636).

253419110400 is an abundant number, since it is smaller than the sum of its proper divisors (584531904872).

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

253419110400 is an equidigital number, since it uses as much as digits as its factorization.

253419110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206274 (or 206243 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 253419110400 in words is "two hundred fifty-three billion, four hundred nineteen million, one hundred ten thousand, four hundred".