252689961604080 has 1920 divisors, whose sum is σ = 1095132467036160. Its totient is φ = 47365977415680.

The previous prime is 252689961604057. The next prime is 252689961604103. The reversal of 252689961604080 is 80406169986252.

It is an interprime number because it is at equal distance from previous prime (252689961604057) and next prime (252689961604103).

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 14309406291 + ... + 14309423949.

It is an arithmetic number, because the mean of its divisors is an integer number (570381493248).

Almost surely, 2^{252689961604080} is an apocalyptic number.

252689961604080 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 252689961604080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547566233518080).

252689961604080 is an abundant number, since it is smaller than the sum of its proper divisors (842442505432080).

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

252689961604080 is a wasteful number, since it uses less digits than its factorization.

252689961604080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17907 (or 17894 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 66.

The spelling of 252689961604080 in words is "two hundred fifty-two trillion, six hundred eighty-nine billion, nine hundred sixty-one million, six hundred four thousand, eighty".