10081908000 has 720 divisors, whose sum is σ = 39359744424. Its totient is φ = 2525644800.

The previous prime is 10081907999. The next prime is 10081908019. The reversal of 10081908000 is 80918001.

It can be written as a sum of positive squares in 12 ways, for example, as 15397776 + 10066510224 = 3924^2 + 100332^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 272483982 + ... + 272484018.

Almost surely, 2^10081908000 is an apocalyptic number.

10081908000 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 10081908000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19679872212).

10081908000 is an abundant number, since it is smaller than the sum of its proper divisors (29277836424).

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

10081908000 is an equidigital number, since it uses as much as digits as its factorization.

10081908000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 10081908000 in words is "ten billion, eighty-one million, nine hundred eight thousand".