1157165740864 has 112 divisors (see below), whose sum is σ = 2791829255040. Its totient is φ = 464543170560.

The previous prime is 1157165740837. The next prime is 1157165740867. The reversal of 1157165740864 is 4680475617511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157165740867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1246932 + ... + 1967020.

It is an arithmetic number, because the mean of its divisors is an integer number (24927046920).

Almost surely, 2^{1157165740864} is an apocalyptic number.

1157165740864 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 1157165740864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395914627520).

1157165740864 is an abundant number, since it is smaller than the sum of its proper divisors (1634663514176).

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

1157165740864 is a wasteful number, since it uses less digits than its factorization.

1157165740864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720336 (or 720326 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 1157165740864 in words is "one trillion, one hundred fifty-seven billion, one hundred sixty-five million, seven hundred forty thousand, eight hundred sixty-four".