252754205261040 has 1920 divisors, whose sum is σ = 1092644494848000. Its totient is φ = 53351483867136.

The previous prime is 252754205261039. The next prime is 252754205261113. The reversal of 252754205261040 is 40162502457252.

252754205261040 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 5 + 4 + 20 + 5 + 2 + 610 + 4 + 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 383 ways as a sum of consecutive naturals, for example, 23169323106 + ... + 23169334014.

It is an arithmetic number, because the mean of its divisors is an integer number (569085674400).

Almost surely, 2^{252754205261040} is an apocalyptic number.

252754205261040 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 252754205261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546322247424000).

252754205261040 is an abundant number, since it is smaller than the sum of its proper divisors (839890289586960).

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

252754205261040 is a wasteful number, since it uses less digits than its factorization.

252754205261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11204 (or 11185 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 252754205261040 in words is "two hundred fifty-two trillion, seven hundred fifty-four billion, two hundred five million, two hundred sixty-one thousand, forty".