13951435680 has 768 divisors, whose sum is σ = 62752112640. Its totient is φ = 2813792256.

The previous prime is 13951435669. The next prime is 13951435717. The reversal of 13951435680 is 8653415931.

13951435680 is a `hidden beast` number, since 1 + 3 + 9 + 514 + 3 + 56 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 9040989 + ... + 9042531.

It is an arithmetic number, because the mean of its divisors is an integer number (81708480).

Almost surely, 2^13951435680 is an apocalyptic number.

13951435680 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 13951435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31376056320).

13951435680 is an abundant number, since it is smaller than the sum of its proper divisors (48800676960).

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

13951435680 is a wasteful number, since it uses less digits than its factorization.

13951435680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 13951435680 in words is "thirteen billion, nine hundred fifty-one million, four hundred thirty-five thousand, six hundred eighty".