10081820736 has 672 divisors, whose sum is σ = 35698176000. Its totient is φ = 2775472128.

The previous prime is 10081820719. The next prime is 10081820737. The reversal of 10081820736 is 63702818001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10081820736.

It is not an unprimeable number, because it can be changed into a prime (10081820737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127617945 + ... + 127618023.

Almost surely, 2^10081820736 is an apocalyptic number.

10081820736 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 10081820736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849088000).

10081820736 is an abundant number, since it is smaller than the sum of its proper divisors (25616355264).

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

10081820736 is a wasteful number, since it uses less digits than its factorization.

10081820736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 10081820736 in words is "ten billion, eighty-one million, eight hundred twenty thousand, seven hundred thirty-six".