27545657610240 has 3328 divisors, whose sum is σ = 126895758336000. Its totient is φ = 5688657838080.

The previous prime is 27545657610197. The next prime is 27545657610257. The reversal of 27545657610240 is 4201675654572.

27545657610240 is a `hidden beast` number, since 2 + 7 + 5 + 4 + 56 + 576 + 10 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 168991764399 + ... + 168991764561.

Almost surely, 2^{27545657610240} is an apocalyptic number.

27545657610240 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 27545657610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63447879168000).

27545657610240 is an abundant number, since it is smaller than the sum of its proper divisors (99350100725760).

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

27545657610240 is an frugal number, since it uses more digits than its factorization.

27545657610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 27545657610240 in words is "twenty-seven trillion, five hundred forty-five billion, six hundred fifty-seven million, six hundred ten thousand, two hundred forty".