27465084000000 has 378 divisors, whose sum is σ = 98984622824360. Its totient is φ = 7324012800000.

The previous prime is 27465083999993. The next prime is 27465084000049. The reversal of 27465084000000 is 48056472.

It is a super-4 number, since 4×27465084000000⁴ (a number of 55 digits) contains 4444 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 an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35618541 + ... + 36381459.

Almost surely, 2^{27465084000000} is an apocalyptic number.

27465084000000 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 27465084000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49492311412180).

27465084000000 is an abundant number, since it is smaller than the sum of its proper divisors (71519538824360).

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

27465084000000 is an frugal number, since it uses more digits than its factorization.

27465084000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762971 (or 762929 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 27465084000000 in words is "twenty-seven trillion, four hundred sixty-five billion, eighty-four million", and thus it is an aban number.