13533972480 has 1008 divisors, whose sum is σ = 58167951660. Its totient is φ = 3009871872.

The previous prime is 13533972469. The next prime is 13533972481. The reversal of 13533972480 is 8427933531.

13533972480 is a `hidden beast` number, since 1 + 3 + 533 + 9 + 72 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13204767744 + 329204736 = 114912^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×13533972480² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13533972481) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 365783022 + ... + 365783058.

Almost surely, 2^13533972480 is an apocalyptic number.

13533972480 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 13533972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29083975830).

13533972480 is an abundant number, since it is smaller than the sum of its proper divisors (44633979180).

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

13533972480 is an frugal number, since it uses more digits than its factorization.

13533972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 13533972480 in words is "thirteen billion, five hundred thirty-three million, nine hundred seventy-two thousand, four hundred eighty".