13961963520 has 576 divisors, whose sum is σ = 52086827520. Its totient is φ = 3583180800.

The previous prime is 13961963513. The next prime is 13961963537. The reversal of 13961963520 is 2536916931.

13961963520 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 1 + 9 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77137830 + ... + 77138010.

It is an arithmetic number, because the mean of its divisors is an integer number (90428520).

Almost surely, 2^13961963520 is an apocalyptic number.

13961963520 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 13961963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26043413760).

13961963520 is an abundant number, since it is smaller than the sum of its proper divisors (38124864000).

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

13961963520 is an equidigital number, since it uses as much as digits as its factorization.

13961963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 13961963520 in words is "thirteen billion, nine hundred sixty-one million, nine hundred sixty-three thousand, five hundred twenty".