27212885640 has 192 divisors, whose sum is σ = 89756035200. Its totient is φ = 7149542400.

The previous prime is 27212885639. The next prime is 27212885647. The reversal of 27212885640 is 4658821272.

27212885640 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 2 + 88 + 564 + 0 = 666.

It is a super-2 number, since 2×27212885640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (27212885647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9963075 + ... + 9965805.

It is an arithmetic number, because the mean of its divisors is an integer number (467479350).

Almost surely, 2^27212885640 is an apocalyptic number.

27212885640 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 27212885640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44878017600).

27212885640 is an abundant number, since it is smaller than the sum of its proper divisors (62543149560).

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

27212885640 is a wasteful number, since it uses less digits than its factorization.

27212885640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 27212885640 in words is "twenty-seven billion, two hundred twelve million, eight hundred eighty-five thousand, six hundred forty".