10207128780 has 288 divisors, whose sum is σ = 33635347200. Its totient is φ = 2496061440.

The previous prime is 10207128779. The next prime is 10207128793. The reversal of 10207128780 is 8782170201.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27812157 + ... + 27812523.

It is an arithmetic number, because the mean of its divisors is an integer number (116789400).

Almost surely, 2^10207128780 is an apocalyptic number.

10207128780 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 10207128780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817673600).

10207128780 is an abundant number, since it is smaller than the sum of its proper divisors (23428218420).

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

10207128780 is a wasteful number, since it uses less digits than its factorization.

10207128780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

Adding to 10207128780 its reverse (8782170201), we get a palindrome (18989298981).

The spelling of 10207128780 in words is "ten billion, two hundred seven million, one hundred twenty-eight thousand, seven hundred eighty".