27121636285536 has 288 divisors, whose sum is σ = 84677786000640. Its totient is φ = 7562165225472.

The previous prime is 27121636285483. The next prime is 27121636285547. The reversal of 27121636285536 is 63558263612172.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5177190 + ... + 9002586.

It is an arithmetic number, because the mean of its divisors is an integer number (294020090280).

Almost surely, 2^{27121636285536} is an apocalyptic number.

27121636285536 is a gapful number since it is divisible by the number (26) 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 27121636285536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42338893000320).

27121636285536 is an abundant number, since it is smaller than the sum of its proper divisors (57556149715104).

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

27121636285536 is a wasteful number, since it uses less digits than its factorization.

27121636285536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825478 (or 3825457 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 57.

The spelling of 27121636285536 in words is "twenty-seven trillion, one hundred twenty-one billion, six hundred thirty-six million, two hundred eighty-five thousand, five hundred thirty-six".