13564283950080 has 616 divisors, whose sum is σ = 48844636966944. Its totient is φ = 3612742041600.

The previous prime is 13564283950069. The next prime is 13564283950081. The reversal of 13564283950080 is 8005938246531.

13564283950080 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 4 + 28 + 39 + 500 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13564283949999 and 13564283950026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13564283950081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4072134015 + ... + 4072137345.

Almost surely, 2^{13564283950080} is an apocalyptic number.

13564283950080 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 13564283950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24422318483472).

13564283950080 is an abundant number, since it is smaller than the sum of its proper divisors (35280353016864).

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

13564283950080 is an equidigital number, since it uses as much as digits as its factorization.

13564283950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4465 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 13564283950080 in words is "thirteen trillion, five hundred sixty-four billion, two hundred eighty-three million, nine hundred fifty thousand, eighty".