1132996824960 has 3072 divisors, whose sum is σ = 5415261143040. Its totient is φ = 194155315200.

The previous prime is 1132996824917. The next prime is 1132996824961. The reversal of 1132996824960 is 694286992311.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1132996824894 and 1132996824903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132996824961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15957701725 + ... + 15957701795.

It is an arithmetic number, because the mean of its divisors is an integer number (1762780320).

Almost surely, 2^{1132996824960} is an apocalyptic number.

1132996824960 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 1132996824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707630571520).

1132996824960 is an abundant number, since it is smaller than the sum of its proper divisors (4282264318080).

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

1132996824960 is a wasteful number, since it uses less digits than its factorization.

1132996824960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 1132996824960 in words is "one trillion, one hundred thirty-two billion, nine hundred ninety-six million, eight hundred twenty-four thousand, nine hundred sixty".