10082781000 has 384 divisors, whose sum is σ = 35744716800. Its totient is φ = 2560320000.

The previous prime is 10082780989. The next prime is 10082781047. The reversal of 10082781000 is 18728001.

It is a super-2 number, since 2×10082781000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19808746 + ... + 19809254.

It is an arithmetic number, because the mean of its divisors is an integer number (93085200).

Almost surely, 2^10082781000 is an apocalyptic number.

10082781000 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 10082781000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872358400).

10082781000 is an abundant number, since it is smaller than the sum of its proper divisors (25661935800).

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

10082781000 is a wasteful number, since it uses less digits than its factorization.

10082781000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10082781000 in words is "ten billion, eighty-two million, seven hundred eighty-one thousand".