253029900994848 has 672 divisors, whose sum is σ = 769795301915136. Its totient is φ = 81791763185664.

The previous prime is 253029900994841. The next prime is 253029900994861. The reversal of 253029900994848 is 848499009920352.

253029900994848 is a `hidden beast` number, since 2 + 5 + 30 + 29 + 9 + 0 + 0 + 99 + 484 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (253029900994841) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 101090650365 + ... + 101090652867.

It is an arithmetic number, because the mean of its divisors is an integer number (1145528723088).

Almost surely, 2^{253029900994848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253029900994848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384897650957568).

253029900994848 is an abundant number, since it is smaller than the sum of its proper divisors (516765400920288).

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

253029900994848 is a wasteful number, since it uses less digits than its factorization.

253029900994848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 253029900994848 in words is "two hundred fifty-three trillion, twenty-nine billion, nine hundred million, nine hundred ninety-four thousand, eight hundred forty-eight".