13749988528640 has 320 divisors, whose sum is σ = 40606310029824. Its totient is φ = 4348360654848.

The previous prime is 13749988528621. The next prime is 13749988528663. The reversal of 13749988528640 is 4682588994731.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318434732 + ... + 318477908.

It is a 1-persistent number, because it is pandigital, but 2⋅13749988528640 = 27499977057280 is not.

Almost surely, 2^{13749988528640} is an apocalyptic number.

13749988528640 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 13749988528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303155014912).

13749988528640 is an abundant number, since it is smaller than the sum of its proper divisors (26856321501184).

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

13749988528640 is a wasteful number, since it uses less digits than its factorization.

13749988528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44587 (or 44571 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 74.

The spelling of 13749988528640 in words is "thirteen trillion, seven hundred forty-nine billion, nine hundred eighty-eight million, five hundred twenty-eight thousand, six hundred forty".