10807350729120 has 576 divisors, whose sum is σ = 40402679990400. Its totient is φ = 2608927211520.

The previous prime is 10807350729103. The next prime is 10807350729169. The reversal of 10807350729120 is 2192705370801.

10807350729120 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 7 + 350 + 7 + 291 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5721201136 + ... + 5721203024.

It is an arithmetic number, because the mean of its divisors is an integer number (70143541650).

Almost surely, 2^{10807350729120} is an apocalyptic number.

10807350729120 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 10807350729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20201339995200).

10807350729120 is an abundant number, since it is smaller than the sum of its proper divisors (29595329261280).

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

10807350729120 is a wasteful number, since it uses less digits than its factorization.

10807350729120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10807350729120 in words is "ten trillion, eight hundred seven billion, three hundred fifty million, seven hundred twenty-nine thousand, one hundred twenty".