10207288640 has 56 divisors (see below), whose sum is σ = 24370527840. Its totient is φ = 4072094208.

The previous prime is 10207288639. The next prime is 10207288643. The reversal of 10207288640 is 4688270201.

It is a junction number, because it is equal to n+sod(n) for n = 10207288594 and 10207288603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10207288643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79199 + ... + 163361.

Almost surely, 2^10207288640 is an apocalyptic number.

10207288640 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 10207288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185263920).

10207288640 is an abundant number, since it is smaller than the sum of its proper divisors (14163239200).

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

10207288640 is an equidigital number, since it uses as much as digits as its factorization.

10207288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84559 (or 84549 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The spelling of 10207288640 in words is "ten billion, two hundred seven million, two hundred eighty-eight thousand, six hundred forty".