1157114129800 has 96 divisors (see below), whose sum is σ = 2711188972800. Its totient is φ = 459263796480.

The previous prime is 1157114129789. The next prime is 1157114129803. The reversal of 1157114129800 is 89214117511.

It is a super-2 number, since 2×1157114129800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1157114129803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13649946 + ... + 13734454.

It is an arithmetic number, because the mean of its divisors is an integer number (28241551800).

Almost surely, 2^{1157114129800} is an apocalyptic number.

1157114129800 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 1157114129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355594486400).

1157114129800 is an abundant number, since it is smaller than the sum of its proper divisors (1554074843000).

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

1157114129800 is a wasteful number, since it uses less digits than its factorization.

1157114129800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85055 (or 85046 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 40.

The spelling of 1157114129800 in words is "one trillion, one hundred fifty-seven billion, one hundred fourteen million, one hundred twenty-nine thousand, eight hundred".