252776646400 has 108 divisors (see below), whose sum is σ = 626602033792. Its totient is φ = 100958699520.

The previous prime is 252776646383. The next prime is 252776646403. The reversal of 252776646400 is 4646677252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252776646403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4277857 + ... + 4336543.

Almost surely, 2^252776646400 is an apocalyptic number.

252776646400 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 252776646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313301016896).

252776646400 is an abundant number, since it is smaller than the sum of its proper divisors (373825387392).

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

252776646400 is an equidigital number, since it uses as much as digits as its factorization.

252776646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59386 (or 59367 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 252776646400 in words is "two hundred fifty-two billion, seven hundred seventy-six million, six hundred forty-six thousand, four hundred".