13564489436160 has 2816 divisors, whose sum is σ = 54354275942400. Its totient is φ = 2853804441600.

The previous prime is 13564489436111. The next prime is 13564489436171. The reversal of 13564489436160 is 6163498446531.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13564489436094 and 13564489436103.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 139840097232 + ... + 139840097328.

Almost surely, 2^{13564489436160} is an apocalyptic number.

13564489436160 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 13564489436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27177137971200).

13564489436160 is an abundant number, since it is smaller than the sum of its proper divisors (40789786506240).

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

13564489436160 is a wasteful number, since it uses less digits than its factorization.

13564489436160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 13564489436160 in words is "thirteen trillion, five hundred sixty-four billion, four hundred eighty-nine million, four hundred thirty-six thousand, one hundred sixty".