10007878580 has 144 divisors (see below), whose sum is σ = 25958103696. Its totient is φ = 3220439040.

The previous prime is 10007878513. The next prime is 10007878603. The reversal of 10007878580 is 8587870001.

It can be written as a sum of positive squares in 8 ways, for example, as 146991376 + 9860887204 = 12124^2 + 99302^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8679284 + ... + 8680436.

It is an arithmetic number, because the mean of its divisors is an integer number (180264609).

Almost surely, 2^10007878580 is an apocalyptic number.

10007878580 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 10007878580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12979051848).

10007878580 is an abundant number, since it is smaller than the sum of its proper divisors (15950225116).

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

10007878580 is a wasteful number, since it uses less digits than its factorization.

10007878580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 44.

The spelling of 10007878580 in words is "ten billion, seven million, eight hundred seventy-eight thousand, five hundred eighty".