10061982000 has 800 divisors, whose sum is σ = 43816481280. Its totient is φ = 2174169600.

The previous prime is 10061981999. The next prime is 10061982043. The reversal of 10061982000 is 28916001.

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, 21545767 + ... + 21546233.

Almost surely, 2^10061982000 is an apocalyptic number.

10061982000 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 10061982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21908240640).

10061982000 is an abundant number, since it is smaller than the sum of its proper divisors (33754499280).

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

10061982000 is a wasteful number, since it uses less digits than its factorization.

10061982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10061982000 in words is "ten billion, sixty-one million, nine hundred eighty-two thousand".