27234380759040 has 2160 divisors, whose sum is σ = 119631794825088. Its totient is φ = 5680259923968.

The previous prime is 27234380759023. The next prime is 27234380759041. The reversal of 27234380759040 is 4095708343272.

It is a happy number.

27234380759040 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 4 + 3 + 8 + 0 + 7 + 590 + 40 = 666.

It is a super-2 number, since 2×27234380759040² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27234380759041) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 48373677799 + ... + 48373678361.

Almost surely, 2^{27234380759040} is an apocalyptic number.

27234380759040 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 27234380759040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59815897412544).

27234380759040 is an abundant number, since it is smaller than the sum of its proper divisors (92397414066048).

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

27234380759040 is a wasteful number, since it uses less digits than its factorization.

27234380759040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 27234380759040 in words is "twenty-seven trillion, two hundred thirty-four billion, three hundred eighty million, seven hundred fifty-nine thousand, forty".