252621366641280 has 1536 divisors, whose sum is σ = 1159484717664000. Its totient is φ = 51462324781056.

The previous prime is 252621366641279. The next prime is 252621366641297. The reversal of 252621366641280 is 82146663126252.

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 191 ways as a sum of consecutive naturals, for example, 318817747 + ... + 319609133.

Almost surely, 2^{252621366641280} is an apocalyptic number.

252621366641280 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 252621366641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579742358832000).

252621366641280 is an abundant number, since it is smaller than the sum of its proper divisors (906863351022720).

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

252621366641280 is a wasteful number, since it uses less digits than its factorization.

252621366641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791471 (or 791446 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 252621366641280 in words is "two hundred fifty-two trillion, six hundred twenty-one billion, three hundred sixty-six million, six hundred forty-one thousand, two hundred eighty".