10206831840 has 192 divisors, whose sum is σ = 34087495680. Its totient is φ = 2562693120.

The previous prime is 10206831839. The next prime is 10206831883. The reversal of 10206831840 is 4813860201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541291 + ... + 559829.

It is an arithmetic number, because the mean of its divisors is an integer number (177539040).

Almost surely, 2^10206831840 is an apocalyptic number.

10206831840 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 10206831840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17043747840).

10206831840 is an abundant number, since it is smaller than the sum of its proper divisors (23880663840).

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

10206831840 is a wasteful number, since it uses less digits than its factorization.

10206831840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18625 (or 18617 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 10206831840 in words is "ten billion, two hundred six million, eight hundred thirty-one thousand, eight hundred forty".