13540628310 has 128 divisors (see below), whose sum is σ = 37546758144. Its totient is φ = 3092876160.

The previous prime is 13540628303. The next prime is 13540628323. The reversal of 13540628310 is 1382604531.

It is a super-2 number, since 2×13540628310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 495217 + ... + 521843.

It is an arithmetic number, because the mean of its divisors is an integer number (293334048).

Almost surely, 2^13540628310 is an apocalyptic number.

13540628310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540628310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773379072).

13540628310 is an abundant number, since it is smaller than the sum of its proper divisors (24006129834).

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

13540628310 is a wasteful number, since it uses less digits than its factorization.

13540628310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26738.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 13540628310 in words is "thirteen billion, five hundred forty million, six hundred twenty-eight thousand, three hundred ten".