252994911840 has 1152 divisors, whose sum is σ = 1017256181760. Its totient is φ = 58629795840.

The previous prime is 252994911821. The next prime is 252994911857. The reversal of 252994911840 is 48119499252.

252994911840 is a `hidden beast` number, since 2 + 52 + 99 + 491 + 18 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1992085857 + ... + 1992085983.

It is an arithmetic number, because the mean of its divisors is an integer number (883034880).

Almost surely, 2^252994911840 is an apocalyptic number.

252994911840 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 252994911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508628090880).

252994911840 is an abundant number, since it is smaller than the sum of its proper divisors (764261269920).

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

252994911840 is a wasteful number, since it uses less digits than its factorization.

252994911840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 252994911840 in words is "two hundred fifty-two billion, nine hundred ninety-four million, nine hundred eleven thousand, eight hundred forty".