253820397312000 has 2688 divisors, whose sum is σ = 995352371919360. Its totient is φ = 64497254400000.

The previous prime is 253820397311893. The next prime is 253820397312011. The reversal of 253820397312000 is 213793028352.

253820397312000 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 20 + 397 + 31 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 422330111700 + ... + 422330112300.

It is an arithmetic number, because the mean of its divisors is an integer number (370294781220).

Almost surely, 2^{253820397312000} is an apocalyptic number.

253820397312000 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 253820397312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497676185959680).

253820397312000 is an abundant number, since it is smaller than the sum of its proper divisors (741531974607360).

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

253820397312000 is an frugal number, since it uses more digits than its factorization.

253820397312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 253820397312000 in words is "two hundred fifty-three trillion, eight hundred twenty billion, three hundred ninety-seven million, three hundred twelve thousand".