13164790785300 has 1080 divisors, whose sum is σ = 54663416504928. Its totient is φ = 2709878976000.

The previous prime is 13164790785271. The next prime is 13164790785313. The reversal of 13164790785300 is 358709746131.

13164790785300 is a `hidden beast` number, since 1 + 3 + 16 + 4 + 7 + 90 + 7 + 8 + 530 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 467137210 + ... + 467165390.

Almost surely, 2^{13164790785300} is an apocalyptic number.

13164790785300 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 13164790785300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27331708252464).

13164790785300 is an abundant number, since it is smaller than the sum of its proper divisors (41498625719628).

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

13164790785300 is a wasteful number, since it uses less digits than its factorization.

13164790785300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28339 (or 28316 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13164790785300 in words is "thirteen trillion, one hundred sixty-four billion, seven hundred ninety million, seven hundred eighty-five thousand, three hundred".