1166259225744 has 120 divisors (see below), whose sum is σ = 3274652667000. Its totient is φ = 387474554880.

The previous prime is 1166259225743. The next prime is 1166259225749. The reversal of 1166259225744 is 4475229526611.

1166259225744 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 2 + 592 + 2 + 5 + 7 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1128960000 + 1165130265744 = 33600^2 + 1079412^2 .

It is not an unprimeable number, because it can be changed into a prime (1166259225743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86762064 + ... + 86775504.

It is an arithmetic number, because the mean of its divisors is an integer number (27288772225).

Almost surely, 2^{1166259225744} 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 1166259225744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637326333500).

1166259225744 is an abundant number, since it is smaller than the sum of its proper divisors (2108393441256).

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

1166259225744 is a wasteful number, since it uses less digits than its factorization.

1166259225744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15393 (or 15384 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 1166259225744 in words is "one trillion, one hundred sixty-six billion, two hundred fifty-nine million, two hundred twenty-five thousand, seven hundred forty-four".