10089930240 has 800 divisors, whose sum is σ = 41175177120. Its totient is φ = 2341011456.

The previous prime is 10089930239. The next prime is 10089930247. The reversal of 10089930240 is 4203998001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10089930195 and 10089930204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10089930247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51217822 + ... + 51218018.

Almost surely, 2^10089930240 is an apocalyptic number.

10089930240 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 10089930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20587588560).

10089930240 is an abundant number, since it is smaller than the sum of its proper divisors (31085246880).

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

10089930240 is a wasteful number, since it uses less digits than its factorization.

10089930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10089930240 in words is "ten billion, eighty-nine million, nine hundred thirty thousand, two hundred forty".