10826427696 has 240 divisors, whose sum is σ = 36263928960. Its totient is φ = 2757888000.

The previous prime is 10826427683. The next prime is 10826427721. The reversal of 10826427696 is 69672462801.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 752571 + ... + 766821.

It is an arithmetic number, because the mean of its divisors is an integer number (151099704).

Almost surely, 2^10826427696 is an apocalyptic number.

10826427696 is a gapful number since it is divisible by the number (16) 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 10826427696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131964480).

10826427696 is an abundant number, since it is smaller than the sum of its proper divisors (25437501264).

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

10826427696 is a wasteful number, since it uses less digits than its factorization.

10826427696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14312 (or 14299 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 10826427696 in words is "ten billion, eight hundred twenty-six million, four hundred twenty-seven thousand, six hundred ninety-six".