252406771680 has 192 divisors, whose sum is σ = 933223334400. Its totient is φ = 56133679104.

The previous prime is 252406771627. The next prime is 252406771691. The reversal of 252406771680 is 86177604252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 890830 + ... + 1139469.

It is an arithmetic number, because the mean of its divisors is an integer number (4860538200).

Almost surely, 2^252406771680 is an apocalyptic number.

252406771680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252406771680 is an abundant number, since it is smaller than the sum of its proper divisors (680816562720).

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

252406771680 is a wasteful number, since it uses less digits than its factorization.

252406771680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030361 (or 2030353 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 252406771680 in words is "two hundred fifty-two billion, four hundred six million, seven hundred seventy-one thousand, six hundred eighty".