252026448710400 has 3240 divisors, whose sum is σ = 1172281029774624. Its totient is φ = 52295329382400.

The previous prime is 252026448710389. The next prime is 252026448710537. The reversal of 252026448710400 is 4017844620252.

252026448710400 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 64 + 487 + 104 + 0 + 0 = 666.

252026448710400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3240).

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 359 ways as a sum of consecutive naturals, for example, 37409295832 + ... + 37409302568.

Almost surely, 2^{252026448710400} is an apocalyptic number.

252026448710400 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 252026448710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586140514887312).

252026448710400 is an abundant number, since it is smaller than the sum of its proper divisors (920254581064224).

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

252026448710400 is a wasteful number, since it uses less digits than its factorization.

252026448710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6869 (or 6828 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 252026448710400 in words is "two hundred fifty-two trillion, twenty-six billion, four hundred forty-eight million, seven hundred ten thousand, four hundred".