13058826772572 has 360 divisors, whose sum is σ = 41170739924160. Its totient is φ = 3594595656960.

The previous prime is 13058826772549. The next prime is 13058826772573. The reversal of 13058826772572 is 27527762885031.

It is a happy number.

13058826772572 is a `hidden beast` number, since 1 + 3 + 0 + 58 + 8 + 2 + 6 + 7 + 7 + 2 + 572 = 666.

It is a super-2 number, since 2×13058826772572² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13058826772573) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 213136422 + ... + 213197682.

It is an arithmetic number, because the mean of its divisors is an integer number (114363166456).

Almost surely, 2^{13058826772572} is an apocalyptic number.

13058826772572 is a gapful number since it is divisible by the number (12) 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 13058826772572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20585369962080).

13058826772572 is an abundant number, since it is smaller than the sum of its proper divisors (28111913151588).

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

13058826772572 is a wasteful number, since it uses less digits than its factorization.

13058826772572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61783 (or 61765 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 13058826772572 in words is "thirteen trillion, fifty-eight billion, eight hundred twenty-six million, seven hundred seventy-two thousand, five hundred seventy-two".