253633116950208 has 280 divisors, whose sum is σ = 794498493346800. Its totient is φ = 79783008141312.

The previous prime is 253633116950123. The next prime is 253633116950221. The reversal of 253633116950208 is 802059611336352.

253633116950208 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 331 + 16 + 95 + 0 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20303628 + ... + 30323316.

Almost surely, 2^{253633116950208} 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 253633116950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397249246673400).

253633116950208 is an abundant number, since it is smaller than the sum of its proper divisors (540865376396592).

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

253633116950208 is a wasteful number, since it uses less digits than its factorization.

253633116950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019989 (or 10019970 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 253633116950208 in words is "two hundred fifty-three trillion, six hundred thirty-three billion, one hundred sixteen million, nine hundred fifty thousand, two hundred eight".