252142663500 has 1152 divisors, whose sum is σ = 1076079513600. Its totient is φ = 48173875200.

The previous prime is 252142663499. The next prime is 252142663547. The reversal of 252142663500 is 5366241252.

252142663500 is a `hidden beast` number, since 2 + 5 + 2 + 14 + 2 + 6 + 635 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 178950796 + ... + 178952204.

It is an arithmetic number, because the mean of its divisors is an integer number (934096800).

Almost surely, 2^252142663500 is an apocalyptic number.

252142663500 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 252142663500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538039756800).

252142663500 is an abundant number, since it is smaller than the sum of its proper divisors (823936850100).

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

252142663500 is a wasteful number, since it uses less digits than its factorization.

252142663500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 252142663500 in words is "two hundred fifty-two billion, one hundred forty-two million, six hundred sixty-three thousand, five hundred".