27216631680 has 512 divisors, whose sum is σ = 102698496000. Its totient is φ = 6001164288.

The previous prime is 27216631669. The next prime is 27216631703. The reversal of 27216631680 is 8613661272.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 113877001 + ... + 113877239.

It is an arithmetic number, because the mean of its divisors is an integer number (200583000).

Almost surely, 2^27216631680 is an apocalyptic number.

27216631680 is a gapful number since it is divisible by the number (20) 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 27216631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51349248000).

27216631680 is an abundant number, since it is smaller than the sum of its proper divisors (75481864320).

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

27216631680 is a wasteful number, since it uses less digits than its factorization.

27216631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 27216631680 in words is "twenty-seven billion, two hundred sixteen million, six hundred thirty-one thousand, six hundred eighty".