252051367680 has 1440 divisors, whose sum is σ = 1128272302080. Its totient is φ = 52394065920.

The previous prime is 252051367643. The next prime is 252051367693. The reversal of 252051367680 is 86763150252.

252051367680 is a `hidden beast` number, since 2 + 5 + 205 + 1 + 367 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 382475191 + ... + 382475849.

It is an arithmetic number, because the mean of its divisors is an integer number (783522432).

Almost surely, 2^252051367680 is an apocalyptic number.

252051367680 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 252051367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564136151040).

252051367680 is an abundant number, since it is smaller than the sum of its proper divisors (876220934400).

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

252051367680 is a wasteful number, since it uses less digits than its factorization.

252051367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 252051367680 in words is "two hundred fifty-two billion, fifty-one million, three hundred sixty-seven thousand, six hundred eighty".