1252035916416 has 640 divisors, whose sum is σ = 4035774758400. Its totient is φ = 384296140800.

The previous prime is 1252035916379. The next prime is 1252035916423. The reversal of 1252035916416 is 6146195302521.

It is a happy number.

1252035916416 is a `hidden beast` number, since 1 + 2 + 52 + 0 + 3 + 591 + 6 + 4 + 1 + 6 = 666.

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 79 ways as a sum of consecutive naturals, for example, 772384086 + ... + 772385706.

It is an arithmetic number, because the mean of its divisors is an integer number (6305898060).

Almost surely, 2^{1252035916416} is an apocalyptic number.

1252035916416 is a gapful number since it is divisible by the number (16) 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 1252035916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017887379200).

1252035916416 is an abundant number, since it is smaller than the sum of its proper divisors (2783738841984).

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

1252035916416 is a wasteful number, since it uses less digits than its factorization.

1252035916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1252035916416 in words is "one trillion, two hundred fifty-two billion, thirty-five million, nine hundred sixteen thousand, four hundred sixteen".