1252026653856 has 576 divisors, whose sum is σ = 3899149664256. Its totient is φ = 348464793600.

The previous prime is 1252026653851. The next prime is 1252026653987. The reversal of 1252026653856 is 6583566202521.

It is a junction number, because it is equal to n+sod(n) for n = 1252026653799 and 1252026653808.

It is not an unprimeable number, because it can be changed into a prime (1252026653851) 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, 3411516585 + ... + 3411516951.

It is an arithmetic number, because the mean of its divisors is an integer number (6769357056).

Almost surely, 2^{1252026653856} is an apocalyptic number.

1252026653856 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 1252026653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949574832128).

1252026653856 is an abundant number, since it is smaller than the sum of its proper divisors (2647123010400).

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

1252026653856 is a wasteful number, since it uses less digits than its factorization.

1252026653856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 1252026653856 in words is "one trillion, two hundred fifty-two billion, twenty-six million, six hundred fifty-three thousand, eight hundred fifty-six".