252148766400 has 672 divisors, whose sum is σ = 947903616000. Its totient is φ = 65163571200.

The previous prime is 252148766383. The next prime is 252148766447. The reversal of 252148766400 is 4667841252.

252148766400 is a `hidden beast` number, since 2 + 521 + 4 + 87 + 6 + 6 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276781945 + ... + 276782855.

Almost surely, 2^252148766400 is an apocalyptic number.

252148766400 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 252148766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473951808000).

252148766400 is an abundant number, since it is smaller than the sum of its proper divisors (695754849600).

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

252148766400 is a wasteful number, since it uses less digits than its factorization.

252148766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 252148766400 in words is "two hundred fifty-two billion, one hundred forty-eight million, seven hundred sixty-six thousand, four hundred".