13292761940500 has 192 divisors, whose sum is σ = 34929923857920. Its totient is φ = 4317038208000.

The previous prime is 13292761940411. The next prime is 13292761940527. The reversal of 13292761940500 is 504916729231.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 930793360 + ... + 930807640.

It is an arithmetic number, because the mean of its divisors is an integer number (181926686760).

Almost surely, 2^{13292761940500} is an apocalyptic number.

13292761940500 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 13292761940500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464961928960).

13292761940500 is an abundant number, since it is smaller than the sum of its proper divisors (21637161917420).

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

13292761940500 is a wasteful number, since it uses less digits than its factorization.

13292761940500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28323 (or 28311 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 13292761940500 in words is "thirteen trillion, two hundred ninety-two billion, seven hundred sixty-one million, nine hundred forty thousand, five hundred".