13995154080 has 480 divisors, whose sum is σ = 53348803200. Its totient is φ = 3444553728.

The previous prime is 13995154009. The next prime is 13995154091. The reversal of 13995154080 is 8045159931.

13995154080 is a `hidden beast` number, since 1 + 3 + 99 + 515 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8643511 + ... + 8645129.

It is an arithmetic number, because the mean of its divisors is an integer number (111143340).

Almost surely, 2^13995154080 is an apocalyptic number.

13995154080 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 13995154080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26674401600).

13995154080 is an abundant number, since it is smaller than the sum of its proper divisors (39353649120).

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

13995154080 is a wasteful number, since it uses less digits than its factorization.

13995154080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 13995154080 in words is "thirteen billion, nine hundred ninety-five million, one hundred fifty-four thousand, eighty".