10809772512 has 192 divisors, whose sum is σ = 35565433344. Its totient is φ = 2792816640.

The previous prime is 10809772511. The next prime is 10809772529. The reversal of 10809772512 is 21527790801.

It is a super-2 number, since 2×10809772512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10809772511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422868 + ... + 1430444.

It is an arithmetic number, because the mean of its divisors is an integer number (185236632).

Almost surely, 2^10809772512 is an apocalyptic number.

10809772512 is a gapful number since it is divisible by the number (12) 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 10809772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17782716672).

10809772512 is an abundant number, since it is smaller than the sum of its proper divisors (24755660832).

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

10809772512 is a wasteful number, since it uses less digits than its factorization.

10809772512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7801 (or 7793 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 10809772512 in words is "ten billion, eight hundred nine million, seven hundred seventy-two thousand, five hundred twelve".