10085781888 has 768 divisors, whose sum is σ = 38494310400. Its totient is φ = 2462220288.

The previous prime is 10085781887. The next prime is 10085781889. The reversal of 10085781888 is 88818758001.

It is an interprime number because it is at equal distance from previous prime (10085781887) and next prime (10085781889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085781883) 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, 113323348 + ... + 113323436.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^10085781888 is an apocalyptic number.

10085781888 is a gapful number since it is divisible by the number (18) 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 10085781888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19247155200).

10085781888 is an abundant number, since it is smaller than the sum of its proper divisors (28408528512).

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

10085781888 is a wasteful number, since it uses less digits than its factorization.

10085781888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 54.

The spelling of 10085781888 in words is "ten billion, eighty-five million, seven hundred eighty-one thousand, eight hundred eighty-eight".