10605774312 has 256 divisors, whose sum is σ = 36587520000. Its totient is φ = 2777898240.

The previous prime is 10605774301. The next prime is 10605774341. The reversal of 10605774312 is 21347750601.

It is a happy number.

10605774312 is a `hidden beast` number, since 1 + 0 + 605 + 7 + 7 + 43 + 1 + 2 = 666.

It is a super-2 number, since 2×10605774312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884614 + ... + 896522.

It is an arithmetic number, because the mean of its divisors is an integer number (142920000).

Almost surely, 2^10605774312 is an apocalyptic number.

10605774312 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 10605774312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293760000).

10605774312 is an abundant number, since it is smaller than the sum of its proper divisors (25981745688).

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

10605774312 is a wasteful number, since it uses less digits than its factorization.

10605774312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11981 (or 11971 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10605774312 in words is "ten billion, six hundred five million, seven hundred seventy-four thousand, three hundred twelve".