10248567980 has 192 divisors, whose sum is σ = 26629005312. Its totient is φ = 3233710080.

The previous prime is 10248567949. The next prime is 10248568003. The reversal of 10248567980 is 8976584201.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23778365 + ... + 23778795.

It is an arithmetic number, because the mean of its divisors is an integer number (138692736).

Almost surely, 2^10248567980 is an apocalyptic number.

10248567980 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 10248567980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13314502656).

10248567980 is an abundant number, since it is smaller than the sum of its proper divisors (16380437332).

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

10248567980 is a wasteful number, since it uses less digits than its factorization.

10248567980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The spelling of 10248567980 in words is "ten billion, two hundred forty-eight million, five hundred sixty-seven thousand, nine hundred eighty".