27215514138240 has 768 divisors, whose sum is σ = 101986634736000. Its totient is φ = 6858044817408.

The previous prime is 27215514138217. The next prime is 27215514138247. The reversal of 27215514138240 is 4283141551272.

It is a happy number.

27215514138240 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 5 + 514 + 13 + 82 + 40 = 666.

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 (27215514138247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2551369387 + ... + 2551380053.

Almost surely, 2^{27215514138240} is an apocalyptic number.

27215514138240 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 27215514138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50993317368000).

27215514138240 is an abundant number, since it is smaller than the sum of its proper divisors (74771120597760).

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

27215514138240 is a wasteful number, since it uses less digits than its factorization.

27215514138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 27215514138240 in words is "twenty-seven trillion, two hundred fifteen billion, five hundred fourteen million, one hundred thirty-eight thousand, two hundred forty".