13587216480 has 96 divisors (see below), whose sum is σ = 47555272800. Its totient is φ = 3623256576.

The previous prime is 13587216473. The next prime is 13587216491. The reversal of 13587216480 is 8461278531.

13587216480 is a `hidden beast` number, since 1 + 3 + 587 + 2 + 1 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13587216480² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568275 + ... + 1576914.

It is an arithmetic number, because the mean of its divisors is an integer number (495367425).

Almost surely, 2^13587216480 is an apocalyptic number.

13587216480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13587216480 is an abundant number, since it is smaller than the sum of its proper divisors (33968056320).

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

13587216480 is a wasteful number, since it uses less digits than its factorization.

13587216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145213 (or 3145199 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13587216480 in words is "thirteen billion, five hundred eighty-seven million, two hundred sixteen thousand, four hundred eighty".