10807678889280 has 2688 divisors, whose sum is σ = 49026946375680. Its totient is φ = 2124109578240.

The previous prime is 10807678889263. The next prime is 10807678889327. The reversal of 10807678889280 is 8298887670801.

10807678889280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10807678889199 and 10807678889208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 47195104206 + ... + 47195104434.

It is an arithmetic number, because the mean of its divisors is an integer number (18239191360).

Almost surely, 2^{10807678889280} is an apocalyptic number.

10807678889280 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 10807678889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24513473187840).

10807678889280 is an abundant number, since it is smaller than the sum of its proper divisors (38219267486400).

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

10807678889280 is a wasteful number, since it uses less digits than its factorization.

10807678889280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 72.

The spelling of 10807678889280 in words is "ten trillion, eight hundred seven billion, six hundred seventy-eight million, eight hundred eighty-nine thousand, two hundred eighty".