27156954240 has 640 divisors, whose sum is σ = 106368292800. Its totient is φ = 6561865728.

The previous prime is 27156954233. The next prime is 27156954247. The reversal of 27156954240 is 4245965172.

27156954240 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 69 + 542 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (27156954233) and next prime (27156954247).

It is a tau number, because it is divible by the number of its divisors (640).

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 (27156954247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39760939 + ... + 39761621.

Almost surely, 2^27156954240 is an apocalyptic number.

27156954240 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 27156954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53184146400).

27156954240 is an abundant number, since it is smaller than the sum of its proper divisors (79211338560).

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

27156954240 is a wasteful number, since it uses less digits than its factorization.

27156954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 27156954240 in words is "twenty-seven billion, one hundred fifty-six million, nine hundred fifty-four thousand, two hundred forty".