1152499138560 has 1920 divisors, whose sum is σ = 5236344852480. Its totient is φ = 233570304000.

The previous prime is 1152499138537. The next prime is 1152499138597. The reversal of 1152499138560 is 658319942511.

1152499138560 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 49 + 9 + 1 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1152499138497 and 1152499138506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11410882510 + ... + 11410882610.

It is an arithmetic number, because the mean of its divisors is an integer number (2727262944).

Almost surely, 2^{1152499138560} is an apocalyptic number.

1152499138560 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 1152499138560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618172426240).

1152499138560 is an abundant number, since it is smaller than the sum of its proper divisors (4083845713920).

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

1152499138560 is a wasteful number, since it uses less digits than its factorization.

1152499138560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 1152499138560 in words is "one trillion, one hundred fifty-two billion, four hundred ninety-nine million, one hundred thirty-eight thousand, five hundred sixty".