252490768866000 has 1440 divisors, whose sum is σ = 1064493161327232. Its totient is φ = 57676669747200.

The previous prime is 252490768865963. The next prime is 252490768866019. The reversal of 252490768866000 is 668867094252.

252490768866000 is a `hidden beast` number, since 2 + 5 + 2 + 490 + 7 + 6 + 8 + 86 + 60 + 0 + 0 = 666.

252490768866000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 287 ways as a sum of consecutive naturals, for example, 73037536272 + ... + 73037539728.

Almost surely, 2^{252490768866000} is an apocalyptic number.

252490768866000 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 252490768866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532246580663616).

252490768866000 is an abundant number, since it is smaller than the sum of its proper divisors (812002392461232).

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

252490768866000 is a wasteful number, since it uses less digits than its factorization.

252490768866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6541 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 252490768866000 in words is "two hundred fifty-two trillion, four hundred ninety billion, seven hundred sixty-eight million, eight hundred sixty-six thousand".