13564980000 has 1440 divisors, whose sum is σ = 61896586752. Its totient is φ = 2764800000.

The previous prime is 13564979959. The next prime is 13564980001. The reversal of 13564980000 is 8946531.

13564980000 is a `hidden beast` number, since 1 + 3 + 5 + 649 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×13564980000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13564980001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 437579985 + ... + 437580015.

Almost surely, 2^13564980000 is an apocalyptic number.

13564980000 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 13564980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30948293376).

13564980000 is an abundant number, since it is smaller than the sum of its proper divisors (48331606752).

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

13564980000 is a wasteful number, since it uses less digits than its factorization.

13564980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13564980000 in words is "thirteen billion, five hundred sixty-four million, nine hundred eighty thousand".