252677713840 has 80 divisors (see below), whose sum is σ = 595985622336. Its totient is φ = 99608140800.

The previous prime is 252677713751. The next prime is 252677713909. The reversal of 252677713840 is 48317776252.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17379214 + ... + 17393746.

Almost surely, 2^252677713840 is an apocalyptic number.

252677713840 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 252677713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297992811168).

252677713840 is an abundant number, since it is smaller than the sum of its proper divisors (343307908496).

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

252677713840 is a wasteful number, since it uses less digits than its factorization.

252677713840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17678 (or 17672 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The spelling of 252677713840 in words is "two hundred fifty-two billion, six hundred seventy-seven million, seven hundred thirteen thousand, eight hundred forty".