1251779271360 has 112 divisors (see below), whose sum is σ = 3976940276736. Its totient is φ = 333594381312.

The previous prime is 1251779271359. The next prime is 1251779271389. The reversal of 1251779271360 is 631729771521.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088259 + ... + 1920381.

It is an arithmetic number, because the mean of its divisors is an integer number (35508395328).

Almost surely, 2^{1251779271360} is an apocalyptic number.

1251779271360 is a gapful number since it is divisible by the number (10) 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 1251779271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988470138368).

1251779271360 is an abundant number, since it is smaller than the sum of its proper divisors (2725161005376).

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

1251779271360 is a wasteful number, since it uses less digits than its factorization.

1251779271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833710 (or 833700 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 51.

The spelling of 1251779271360 in words is "one trillion, two hundred fifty-one billion, seven hundred seventy-nine million, two hundred seventy-one thousand, three hundred sixty".