27117293400000 has 2016 divisors, whose sum is σ = 106779845652480. Its totient is φ = 6811776000000.

The previous prime is 27117293399951. The next prime is 27117293400049. The reversal of 27117293400000 is 439271172.

It is an interprime number because it is at equal distance from previous prime (27117293399951) and next prime (27117293400049).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61770599781 + ... + 61770600219.

It is an arithmetic number, because the mean of its divisors is an integer number (52966193280).

Almost surely, 2^{27117293400000} is an apocalyptic number.

27117293400000 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 27117293400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53389922826240).

27117293400000 is an abundant number, since it is smaller than the sum of its proper divisors (79662552252480).

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

27117293400000 is an frugal number, since it uses more digits than its factorization.

27117293400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 27117293400000 in words is "twenty-seven trillion, one hundred seventeen billion, two hundred ninety-three million, four hundred thousand".