1157523232320 has 1344 divisors, whose sum is σ = 5010198036480. Its totient is φ = 238811037696.

The previous prime is 1157523232259. The next prime is 1157523232361. The reversal of 1157523232320 is 232323257511.

1157523232320 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 5 + 2 + 323 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2762585071 + ... + 2762585489.

It is an arithmetic number, because the mean of its divisors is an integer number (3727825920).

Almost surely, 2^{1157523232320} is an apocalyptic number.

1157523232320 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 1157523232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505099018240).

1157523232320 is an abundant number, since it is smaller than the sum of its proper divisors (3852674804160).

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

1157523232320 is a wasteful number, since it uses less digits than its factorization.

1157523232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 1157523232320 its reverse (232323257511), we get a palindrome (1389846489831).

The spelling of 1157523232320 in words is "one trillion, one hundred fifty-seven billion, five hundred twenty-three million, two hundred thirty-two thousand, three hundred twenty".