1150416253800 has 480 divisors, whose sum is σ = 4380837912000. Its totient is φ = 277478784000.

The previous prime is 1150416253787. The next prime is 1150416253801. The reversal of 1150416253800 is 83526140511.

1150416253800 is a `hidden beast` number, since 11 + 50 + 4 + 1 + 62 + 538 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1150416253801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35445580 + ... + 35478020.

It is an arithmetic number, because the mean of its divisors is an integer number (9126745650).

Almost surely, 2^{1150416253800} is an apocalyptic number.

1150416253800 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 1150416253800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190418956000).

1150416253800 is an abundant number, since it is smaller than the sum of its proper divisors (3230421658200).

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

1150416253800 is a wasteful number, since it uses less digits than its factorization.

1150416253800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32679 (or 32661 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1150416253800 in words is "one trillion, one hundred fifty billion, four hundred sixteen million, two hundred fifty-three thousand, eight hundred".