27334130503680 has 5824 divisors, whose sum is σ = 138614555197440. Its totient is φ = 4987787673600.

The previous prime is 27334130503679. The next prime is 27334130503681. The reversal of 27334130503680 is 8630503143372.

27334130503680 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 4 + 130 + 503 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27334130503679) and next prime (27334130503681).

It is a tau number, because it is divible by the number of its divisors (5824).

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 (27334130503681) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 463290347491 + ... + 463290347549.

Almost surely, 2^{27334130503680} is an apocalyptic number.

27334130503680 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 27334130503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69307277598720).

27334130503680 is an abundant number, since it is smaller than the sum of its proper divisors (111280424693760).

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

27334130503680 is a wasteful number, since it uses less digits than its factorization.

27334130503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 27334130503680 in words is "twenty-seven trillion, three hundred thirty-four billion, one hundred thirty million, five hundred three thousand, six hundred eighty".