10826541000 has 640 divisors, whose sum is σ = 42810768000. Its totient is φ = 2528064000.

The previous prime is 10826540987. The next prime is 10826541023. The reversal of 10826541000 is 14562801.

10826541000 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 654 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25838791 + ... + 25839209.

It is an arithmetic number, because the mean of its divisors is an integer number (66891825).

Almost surely, 2^10826541000 is an apocalyptic number.

10826541000 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 10826541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405384000).

10826541000 is an abundant number, since it is smaller than the sum of its proper divisors (31984227000).

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

10826541000 is a wasteful number, since it uses less digits than its factorization.

10826541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10826541000 in words is "ten billion, eight hundred twenty-six million, five hundred forty-one thousand".