1252166418720 has 1152 divisors, whose sum is σ = 5412300042240. Its totient is φ = 257033502720.

The previous prime is 1252166418697. The next prime is 1252166418757. The reversal of 1252166418720 is 278146612521.

1252166418720 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 166 + 418 + 72 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 387786066 + ... + 387789294.

It is an arithmetic number, because the mean of its divisors is an integer number (4698177120).

Almost surely, 2^{1252166418720} is an apocalyptic number.

1252166418720 is a gapful number since it is divisible by the number (10) 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 1252166418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706150021120).

1252166418720 is an abundant number, since it is smaller than the sum of its proper divisors (4160133623520).

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

1252166418720 is a wasteful number, since it uses less digits than its factorization.

1252166418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1252166418720 in words is "one trillion, two hundred fifty-two billion, one hundred sixty-six million, four hundred eighteen thousand, seven hundred twenty".