1252796255424 has 224 divisors, whose sum is σ = 4210994880000. Its totient is φ = 357783229440.

The previous prime is 1252796255401. The next prime is 1252796255449. The reversal of 1252796255424 is 4245526972521.

1252796255424 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 7 + 9 + 62 + 554 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28778827 + ... + 28822325.

Almost surely, 2^{1252796255424} is an apocalyptic number.

1252796255424 is a gapful number since it is divisible by the number (14) 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 1252796255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105497440000).

1252796255424 is an abundant number, since it is smaller than the sum of its proper divisors (2958198624576).

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

1252796255424 is a wasteful number, since it uses less digits than its factorization.

1252796255424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45908 (or 45892 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 1252796255424 in words is "one trillion, two hundred fifty-two billion, seven hundred ninety-six million, two hundred fifty-five thousand, four hundred twenty-four".