27461116800 has 768 divisors, whose sum is σ = 113042764800. Its totient is φ = 6459678720.

The previous prime is 27461116799. The next prime is 27461116801. The reversal of 27461116800 is 861116472.

It is a happy number.

27461116800 is a `hidden beast` number, since 2 + 7 + 461 + 116 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27461116799) and next prime (27461116801).

It is a super-2 number, since 2×27461116800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27461116801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25833069 + ... + 25834131.

It is an arithmetic number, because the mean of its divisors is an integer number (147191100).

Almost surely, 2^27461116800 is an apocalyptic number.

27461116800 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 27461116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56521382400).

27461116800 is an abundant number, since it is smaller than the sum of its proper divisors (85581648000).

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

27461116800 is a wasteful number, since it uses less digits than its factorization.

27461116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 27461116800 in words is "twenty-seven billion, four hundred sixty-one million, one hundred sixteen thousand, eight hundred".