252778266624 has 480 divisors, whose sum is σ = 782129940480. Its totient is φ = 71953809408.

The previous prime is 252778266619. The next prime is 252778266641. The reversal of 252778266624 is 426662877252.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570605347 + ... + 570605789.

It is an arithmetic number, because the mean of its divisors is an integer number (1629437376).

Almost surely, 2^252778266624 is an apocalyptic number.

252778266624 is a gapful number since it is divisible by the number (24) 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 252778266624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391064970240).

252778266624 is an abundant number, since it is smaller than the sum of its proper divisors (529351673856).

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

252778266624 is a wasteful number, since it uses less digits than its factorization.

252778266624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 527 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 57.

The spelling of 252778266624 in words is "two hundred fifty-two billion, seven hundred seventy-eight million, two hundred sixty-six thousand, six hundred twenty-four".