252703485175680 has 1536 divisors, whose sum is σ = 1167137867750400. Its totient is φ = 50699062149120.

The previous prime is 252703485175613. The next prime is 252703485175697. The reversal of 252703485175680 is 86571584307252.

252703485175680 is a `hidden beast` number, since 2 + 5 + 2 + 7 + 0 + 3 + 485 + 1 + 75 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346912324 + ... + 347639996.

It is an arithmetic number, because the mean of its divisors is an integer number (759855382650).

Almost surely, 2^{252703485175680} is an apocalyptic number.

252703485175680 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 252703485175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583568933875200).

252703485175680 is an abundant number, since it is smaller than the sum of its proper divisors (914434382574720).

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

252703485175680 is a wasteful number, since it uses less digits than its factorization.

252703485175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727754 (or 727730 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 252703485175680 in words is "two hundred fifty-two trillion, seven hundred three billion, four hundred eighty-five million, one hundred seventy-five thousand, six hundred eighty".