2666087136000 has 1008 divisors, whose sum is σ = 10392817256640. Its totient is φ = 679908556800.

The previous prime is 2666087135909. The next prime is 2666087136047. The reversal of 2666087136000 is 6317806662.

2666087136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 536541516 + ... + 536546484.

It is an arithmetic number, because the mean of its divisors is an integer number (10310334580).

Almost surely, 2^{2666087136000} is an apocalyptic number.

2666087136000 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 2666087136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5196408628320).

2666087136000 is an abundant number, since it is smaller than the sum of its proper divisors (7726730120640).

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

2666087136000 is an frugal number, since it uses more digits than its factorization.

2666087136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2666087136000 in words is "two trillion, six hundred sixty-six billion, eighty-seven million, one hundred thirty-six thousand".