2665206116100 has 432 divisors, whose sum is σ = 9188598392064. Its totient is φ = 640797696000.

The previous prime is 2665206116099. The next prime is 2665206116107. The reversal of 2665206116100 is 16116025662.

2665206116100 is a `hidden beast` number, since 2 + 6 + 6 + 5 + 20 + 6 + 11 + 610 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2665206116107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 792978420 + ... + 792981780.

Almost surely, 2^{2665206116100} is an apocalyptic number.

2665206116100 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 2665206116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594299196032).

2665206116100 is an abundant number, since it is smaller than the sum of its proper divisors (6523392275964).

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

2665206116100 is a wasteful number, since it uses less digits than its factorization.

2665206116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 2665206116100 in words is "two trillion, six hundred sixty-five billion, two hundred six million, one hundred sixteen thousand, one hundred".