27083140980000 has 960 divisors, whose sum is σ = 109531451715840. Its totient is φ = 5716279296000.

The previous prime is 27083140979981. The next prime is 27083140980011. The reversal of 27083140980000 is 8904138072.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 378384216 + ... + 378455784.

It is an arithmetic number, because the mean of its divisors is an integer number (114095262204).

Almost surely, 2^{27083140980000} is an apocalyptic number.

27083140980000 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 27083140980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54765725857920).

27083140980000 is an abundant number, since it is smaller than the sum of its proper divisors (82448310735840).

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

27083140980000 is a wasteful number, since it uses less digits than its factorization.

27083140980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71679 (or 71656 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 27083140980000 in words is "twenty-seven trillion, eighty-three billion, one hundred forty million, nine hundred eighty thousand".