1253816293824 has 140 divisors (see below), whose sum is σ = 3722406066984. Its totient is φ = 417297609216.

The previous prime is 1253816293813. The next prime is 1253816293841. The reversal of 1253816293824 is 4283926183521.

1253816293824 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 8 + 1 + 629 + 3 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×1253816293824² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3199959 + ... + 3570345.

Almost surely, 2^{1253816293824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253816293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861203033492).

1253816293824 is an abundant number, since it is smaller than the sum of its proper divisors (2468589773160).

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

1253816293824 is an equidigital number, since it uses as much as digits as its factorization.

1253816293824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371064 (or 371045 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1253816293824 in words is "one trillion, two hundred fifty-three billion, eight hundred sixteen million, two hundred ninety-three thousand, eight hundred twenty-four".