13626003485640 has 768 divisors, whose sum is σ = 52921667520000. Its totient is φ = 2744538660864.

The previous prime is 13626003485623. The next prime is 13626003485737. The reversal of 13626003485640 is 4658430062631.

It is a self number, because there is not a number n which added to its sum of digits gives 13626003485640.

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, 366380166 + ... + 366417354.

It is an arithmetic number, because the mean of its divisors is an integer number (68908421250).

Almost surely, 2^{13626003485640} is an apocalyptic number.

13626003485640 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 13626003485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26460833760000).

13626003485640 is an abundant number, since it is smaller than the sum of its proper divisors (39295664034360).

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

13626003485640 is a wasteful number, since it uses less digits than its factorization.

13626003485640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37354 (or 37337 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 13626003485640 in words is "thirteen trillion, six hundred twenty-six billion, three million, four hundred eighty-five thousand, six hundred forty".