13492475250100 has 576 divisors, whose sum is σ = 39375143829504. Its totient is φ = 3887294400000.

The previous prime is 13492475250029. The next prime is 13492475250173. The reversal of 13492475250100 is 105257429431.

It is a super-2 number, since 2×13492475250100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5330885835 + ... + 5330888365.

It is an arithmetic number, because the mean of its divisors is an integer number (68359624704).

Almost surely, 2^{13492475250100} is an apocalyptic number.

13492475250100 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 13492475250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19687571914752).

13492475250100 is an abundant number, since it is smaller than the sum of its proper divisors (25882668579404).

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

13492475250100 is a wasteful number, since it uses less digits than its factorization.

13492475250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3581 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 13492475250100 in words is "thirteen trillion, four hundred ninety-two billion, four hundred seventy-five million, two hundred fifty thousand, one hundred".