252066431680 has 224 divisors, whose sum is σ = 718200483840. Its totient is φ = 82435584000.

The previous prime is 252066431647. The next prime is 252066431713. The reversal of 252066431680 is 86134660252.

It is an interprime number because it is at equal distance from previous prime (252066431647) and next prime (252066431713).

It is a tau number, because it is divible by the number of its divisors (224).

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, 5368305 + ... + 5415055.

It is an arithmetic number, because the mean of its divisors is an integer number (3206252160).

Almost surely, 2^252066431680 is an apocalyptic number.

252066431680 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 252066431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359100241920).

252066431680 is an abundant number, since it is smaller than the sum of its proper divisors (466134052160).

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

252066431680 is a wasteful number, since it uses less digits than its factorization.

252066431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46887 (or 46877 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 252066431680 in words is "two hundred fifty-two billion, sixty-six million, four hundred thirty-one thousand, six hundred eighty".