10809428978880 has 560 divisors, whose sum is σ = 43979038093056. Its totient is φ = 2468759316480.

The previous prime is 10809428978879. The next prime is 10809428978921. The reversal of 10809428978880 is 8887982490801.

10809428978880 is a `hidden beast` number, since 108 + 0 + 9 + 428 + 97 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 10809428978799 and 10809428978808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 234215967 + ... + 234262113.

Almost surely, 2^{10809428978880} is an apocalyptic number.

10809428978880 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 10809428978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989519046528).

10809428978880 is an abundant number, since it is smaller than the sum of its proper divisors (33169609114176).

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

10809428978880 is a wasteful number, since it uses less digits than its factorization.

10809428978880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47474 (or 47455 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 72.

The spelling of 10809428978880 in words is "ten trillion, eight hundred nine billion, four hundred twenty-eight million, nine hundred seventy-eight thousand, eight hundred eighty".