13795246080 has 960 divisors, whose sum is σ = 61906037760. Its totient is φ = 2866544640.

The previous prime is 13795246051. The next prime is 13795246121. The reversal of 13795246080 is 8064259731.

13795246080 is a `hidden beast` number, since 1 + 37 + 9 + 5 + 2 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1254113275 + ... + 1254113285.

It is an arithmetic number, because the mean of its divisors is an integer number (64485456).

It is a 1-persistent number, because it is pandigital, but 2⋅13795246080 = 27590492160 is not.

Almost surely, 2^13795246080 is an apocalyptic number.

13795246080 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 13795246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30953018880).

13795246080 is an abundant number, since it is smaller than the sum of its proper divisors (48110791680).

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

13795246080 is an frugal number, since it uses more digits than its factorization.

13795246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 13795246080 in words is "thirteen billion, seven hundred ninety-five million, two hundred forty-six thousand, eighty".