1157493165696 has 768 divisors, whose sum is σ = 4155568128000. Its totient is φ = 315879782400.

The previous prime is 1157493165671. The next prime is 1157493165713. The reversal of 1157493165696 is 6965613947511.

It is a happy number.

1157493165696 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 493 + 1 + 6 + 56 + 96 = 666.

It is a super-2 number, since 2×1157493165696² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414722061 + ... + 414724851.

It is an arithmetic number, because the mean of its divisors is an integer number (5410896000).

Almost surely, 2^{1157493165696} is an apocalyptic number.

1157493165696 is a gapful number since it is divisible by the number (16) 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 1157493165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077784064000).

1157493165696 is an abundant number, since it is smaller than the sum of its proper divisors (2998074962304).

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

1157493165696 is a wasteful number, since it uses less digits than its factorization.

1157493165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 2913 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 1157493165696 in words is "one trillion, one hundred fifty-seven billion, four hundred ninety-three million, one hundred sixty-five thousand, six hundred ninety-six".