1150031623680 has 800 divisors, whose sum is σ = 4379541566400. Its totient is φ = 287433031680.

The previous prime is 1150031623651. The next prime is 1150031623681. The reversal of 1150031623680 is 863261300511.

1150031623680 is a `hidden beast` number, since 1 + 1 + 500 + 31 + 62 + 3 + 68 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150031623681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1096311796 + ... + 1096312844.

It is an arithmetic number, because the mean of its divisors is an integer number (5474426958).

Almost surely, 2^{1150031623680} is an apocalyptic number.

1150031623680 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 1150031623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189770783200).

1150031623680 is an abundant number, since it is smaller than the sum of its proper divisors (3229509942720).

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

1150031623680 is a wasteful number, since it uses less digits than its factorization.

1150031623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1150031623680 in words is "one trillion, one hundred fifty billion, thirty-one million, six hundred twenty-three thousand, six hundred eighty".