1150113238560 has 576 divisors, whose sum is σ = 4630891015296. Its totient is φ = 256252723200.

The previous prime is 1150113238537. The next prime is 1150113238613. The reversal of 1150113238560 is 658323110511.

It is a happy number.

1150113238560 is a `hidden beast` number, since 1 + 1 + 50 + 1 + 13 + 2 + 38 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 47967375 + ... + 47991345.

It is an arithmetic number, because the mean of its divisors is an integer number (8039741346).

Almost surely, 2^{1150113238560} is an apocalyptic number.

1150113238560 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 1150113238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315445507648).

1150113238560 is an abundant number, since it is smaller than the sum of its proper divisors (3480777776736).

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

1150113238560 is a wasteful number, since it uses less digits than its factorization.

1150113238560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24249 (or 24238 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1150113238560 in words is "one trillion, one hundred fifty billion, one hundred thirteen million, two hundred thirty-eight thousand, five hundred sixty".