13357829628000 has 3456 divisors, whose sum is σ = 60603064704000. Its totient is φ = 2751750144000.

The previous prime is 13357829627959. The next prime is 13357829628001. The reversal of 13357829628000 is 82692875331.

13357829628000 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 7 + 8 + 2 + 9 + 628 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×13357829628000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13357829628001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 67124771901 + ... + 67124772099.

It is an arithmetic number, because the mean of its divisors is an integer number (17535609000).

Almost surely, 2^{13357829628000} is an apocalyptic number.

13357829628000 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 13357829628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30301532352000).

13357829628000 is an abundant number, since it is smaller than the sum of its proper divisors (47245235076000).

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

13357829628000 is a wasteful number, since it uses less digits than its factorization.

13357829628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13357829628000 in words is "thirteen trillion, three hundred fifty-seven billion, eight hundred twenty-nine million, six hundred twenty-eight thousand".