1157836268160 has 768 divisors, whose sum is σ = 4723973654400. Its totient is φ = 257615953920.

The previous prime is 1157836268129. The next prime is 1157836268161. The reversal of 1157836268160 is 618626387511.

It is a happy number.

1157836268160 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 8 + 3 + 626 + 8 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1157836268097 and 1157836268106.

It is not an unprimeable number, because it can be changed into a prime (1157836268161) 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, 147434794 + ... + 147442646.

Almost surely, 2^{1157836268160} is an apocalyptic number.

1157836268160 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 1157836268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361986827200).

1157836268160 is an abundant number, since it is smaller than the sum of its proper divisors (3566137386240).

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

1157836268160 is a wasteful number, since it uses less digits than its factorization.

1157836268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1157836268160 in words is "one trillion, one hundred fifty-seven billion, eight hundred thirty-six million, two hundred sixty-eight thousand, one hundred sixty".