10196540928 has 240 divisors, whose sum is σ = 35112551760. Its totient is φ = 2913103872.

The previous prime is 10196540917. The next prime is 10196540971. The reversal of 10196540928 is 82904569101.

10196540928 is a `hidden beast` number, since 1 + 0 + 19 + 6 + 540 + 92 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 669850 + ... + 684902.

It is an arithmetic number, because the mean of its divisors is an integer number (146302299).

Almost surely, 2^10196540928 is an apocalyptic number.

10196540928 is a gapful number since it is divisible by the number (18) 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 10196540928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556275880).

10196540928 is an abundant number, since it is smaller than the sum of its proper divisors (24916010832).

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

10196540928 is an equidigital number, since it uses as much as digits as its factorization.

10196540928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15094 (or 15065 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10196540928 in words is "ten billion, one hundred ninety-six million, five hundred forty thousand, nine hundred twenty-eight".