10197252680 has 64 divisors (see below), whose sum is σ = 23522849280. Its totient is φ = 3976128000.

The previous prime is 10197252649. The next prime is 10197252683. The reversal of 10197252680 is 8625279101.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (10197252683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3198047 + ... + 3201233.

It is an arithmetic number, because the mean of its divisors is an integer number (367544520).

Almost surely, 2^10197252680 is an apocalyptic number.

10197252680 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 10197252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761424640).

10197252680 is an abundant number, since it is smaller than the sum of its proper divisors (13325596600).

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

10197252680 is a wasteful number, since it uses less digits than its factorization.

10197252680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 10197252680 in words is "ten billion, one hundred ninety-seven million, two hundred fifty-two thousand, six hundred eighty".