1157823171200 has 96 divisors (see below), whose sum is σ = 2868828719520. Its totient is φ = 461729664000.

The previous prime is 1157823171199. The next prime is 1157823171227. The reversal of 1157823171200 is 21713287511.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 512645 + ... + 1605755.

It is an arithmetic number, because the mean of its divisors is an integer number (29883632495).

Almost surely, 2^{1157823171200} is an apocalyptic number.

1157823171200 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 1157823171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434414359760).

1157823171200 is an abundant number, since it is smaller than the sum of its proper divisors (1711005548320).

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

1157823171200 is a wasteful number, since it uses less digits than its factorization.

1157823171200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093466 (or 1093449 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 38.

The spelling of 1157823171200 in words is "one trillion, one hundred fifty-seven billion, eight hundred twenty-three million, one hundred seventy-one thousand, two hundred".