27752663715840 has 4992 divisors, whose sum is σ = 130806049996800. Its totient is φ = 5538164244480.

The previous prime is 27752663715823. The next prime is 27752663715851. The reversal of 27752663715840 is 4851736625772.

It is a happy number.

27752663715840 is a `hidden beast` number, since 2 + 7 + 7 + 526 + 63 + 7 + 1 + 5 + 8 + 40 = 666.

It is a super-3 number, since 3×27752663715840³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 590482206697 + ... + 590482206743.

Almost surely, 2^{27752663715840} is an apocalyptic number.

27752663715840 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 27752663715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65403024998400).

27752663715840 is an abundant number, since it is smaller than the sum of its proper divisors (103053386280960).

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

27752663715840 is a wasteful number, since it uses less digits than its factorization.

27752663715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 27752663715840 in words is "twenty-seven trillion, seven hundred fifty-two billion, six hundred sixty-three million, seven hundred fifteen thousand, eight hundred forty".