1253957386752 has 960 divisors, whose sum is σ = 4482763084800. Its totient is φ = 342372925440.

The previous prime is 1253957386751. The next prime is 1253957386823. The reversal of 1253957386752 is 2576837593521.

1253957386752 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 9 + 573 + 8 + 6 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1253957386752.

It is not an unprimeable number, because it can be changed into a prime (1253957386751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3308594499 + ... + 3308594877.

It is an arithmetic number, because the mean of its divisors is an integer number (4669544880).

Almost surely, 2^{1253957386752} is an apocalyptic number.

1253957386752 is a gapful number since it is divisible by the number (12) 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 1253957386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241381542400).

1253957386752 is an abundant number, since it is smaller than the sum of its proper divisors (3228805698048).

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

1253957386752 is an equidigital number, since it uses as much as digits as its factorization.

1253957386752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 551 counting only the distinct ones).

The product of its digits is 95256000, while the sum is 63.

The spelling of 1253957386752 in words is "one trillion, two hundred fifty-three billion, nine hundred fifty-seven million, three hundred eighty-six thousand, seven hundred fifty-two".