13198728780600 has 192 divisors, whose sum is σ = 44909543283840. Its totient is φ = 3180061555200.

The previous prime is 13198728780593. The next prime is 13198728780607. The reversal of 13198728780600 is 608782789131.

It is an interprime number because it is at equal distance from previous prime (13198728780593) and next prime (13198728780607).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198728780607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5058579 + ... + 7210178.

It is an arithmetic number, because the mean of its divisors is an integer number (233903871270).

Almost surely, 2^{13198728780600} is an apocalyptic number.

13198728780600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13198728780600 is an abundant number, since it is smaller than the sum of its proper divisors (31710814503240).

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

13198728780600 is a wasteful number, since it uses less digits than its factorization.

13198728780600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268950 (or 12268941 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 13198728780600 in words is "thirteen trillion, one hundred ninety-eight billion, seven hundred twenty-eight million, seven hundred eighty thousand, six hundred".