253292928000 has 1408 divisors, whose sum is σ = 1068295827456. Its totient is φ = 51904512000.

The previous prime is 253292927989. The next prime is 253292928011. The reversal of 253292928000 is 829292352.

It is an interprime number because it is at equal distance from previous prime (253292927989) and next prime (253292928011).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1051007880 + ... + 1051008120.

It is an arithmetic number, because the mean of its divisors is an integer number (758732832).

Almost surely, 2^253292928000 is an apocalyptic number.

253292928000 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 253292928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534147913728).

253292928000 is an abundant number, since it is smaller than the sum of its proper divisors (815002899456).

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

253292928000 is a wasteful number, since it uses less digits than its factorization.

253292928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 253292928000 in words is "two hundred fifty-three billion, two hundred ninety-two million, nine hundred twenty-eight thousand".