13626625103000 has 256 divisors, whose sum is σ = 40950977034240. Its totient is φ = 4125097152000.

The previous prime is 13626625102943. The next prime is 13626625103017. The reversal of 13626625103000 is 30152662631.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1162286 + ... + 5348285.

It is an arithmetic number, because the mean of its divisors is an integer number (159964754040).

Almost surely, 2^{13626625103000} is an apocalyptic number.

13626625103000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13626625103000 is an abundant number, since it is smaller than the sum of its proper divisors (27324351931240).

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

13626625103000 is a wasteful number, since it uses less digits than its factorization.

13626625103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6510635 (or 6510621 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 13626625103000 its reverse (30152662631), we get a palindrome (13656777765631).

The spelling of 13626625103000 in words is "thirteen trillion, six hundred twenty-six billion, six hundred twenty-five million, one hundred three thousand".