10081098720 has 1152 divisors, whose sum is σ = 46193172480. Its totient is φ = 1940336640.

The previous prime is 10081098689. The next prime is 10081098721. The reversal of 10081098720 is 2789018001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10081098721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150464127 + ... + 150464193.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^10081098720 is an apocalyptic number.

10081098720 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 10081098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23096586240).

10081098720 is an abundant number, since it is smaller than the sum of its proper divisors (36112073760).

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

10081098720 is a wasteful number, since it uses less digits than its factorization.

10081098720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 10081098720 in words is "ten billion, eighty-one million, ninety-eight thousand, seven hundred twenty".