10807115904000 has 2464 divisors, whose sum is σ = 44564134567680. Its totient is φ = 2597806080000.

The previous prime is 10807115903999. The next prime is 10807115904023. The reversal of 10807115904000 is 40951170801.

10807115904000 is a `hidden beast` number, since 10 + 8 + 0 + 7 + 11 + 590 + 40 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 71570303925 + ... + 71570304075.

Almost surely, 2^{10807115904000} is an apocalyptic number.

10807115904000 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 10807115904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22282067283840).

10807115904000 is an abundant number, since it is smaller than the sum of its proper divisors (33757018663680).

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

10807115904000 is an equidigital number, since it uses as much as digits as its factorization.

10807115904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 10807115904000 in words is "ten trillion, eight hundred seven billion, one hundred fifteen million, nine hundred four thousand".