13756948320 has 96 divisors (see below), whose sum is σ = 43352064000. Its totient is φ = 3667023360.

The previous prime is 13756948307. The next prime is 13756948343. The reversal of 13756948320 is 2384965731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13756948320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1675425 + ... + 1683615.

It is an arithmetic number, because the mean of its divisors is an integer number (451584000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13756948320 = 27513896640, but 3⋅13756948320 = 41270844960 is not.

Almost surely, 2^13756948320 is an apocalyptic number.

13756948320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13756948320 is an abundant number, since it is smaller than the sum of its proper divisors (29595115680).

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

13756948320 is a wasteful number, since it uses less digits than its factorization.

13756948320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11708 (or 11700 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 13756948320 in words is "thirteen billion, seven hundred fifty-six million, nine hundred forty-eight thousand, three hundred twenty".