1152942336000 has 2880 divisors, whose sum is σ = 5431830243840. Its totient is φ = 238082457600.

The previous prime is 1152942335861. The next prime is 1152942336031. The reversal of 1152942336000 is 6332492511.

1152942336000 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 9 + 42 + 3 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1152942336000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24530687977 + ... + 24530688023.

It is an arithmetic number, because the mean of its divisors is an integer number (1886052168).

Almost surely, 2^{1152942336000} is an apocalyptic number.

1152942336000 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 1152942336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715915121920).

1152942336000 is an abundant number, since it is smaller than the sum of its proper divisors (4278887907840).

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

1152942336000 is an equidigital number, since it uses as much as digits as its factorization.

1152942336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 1152942336000 in words is "one trillion, one hundred fifty-two billion, nine hundred forty-two million, three hundred thirty-six thousand".