1261382751360 has 1792 divisors, whose sum is σ = 5016548920320. Its totient is φ = 302181580800.

The previous prime is 1261382751329. The next prime is 1261382751373. The reversal of 1261382751360 is 631572831621.

It is a happy number.

1261382751360 is a `hidden beast` number, since 1 + 2 + 6 + 13 + 8 + 275 + 1 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 20678405730 + ... + 20678405790.

It is an arithmetic number, because the mean of its divisors is an integer number (2799413460).

Almost surely, 2^{1261382751360} is an apocalyptic number.

1261382751360 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 1261382751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508274460160).

1261382751360 is an abundant number, since it is smaller than the sum of its proper divisors (3755166168960).

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

1261382751360 is an equidigital number, since it uses as much as digits as its factorization.

1261382751360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1261382751360 in words is "one trillion, two hundred sixty-one billion, three hundred eighty-two million, seven hundred fifty-one thousand, three hundred sixty".