2166507625500 has 144 divisors (see below), whose sum is σ = 7070286000960. Its totient is φ = 557813424000.

The previous prime is 2166507625483. The next prime is 2166507625507. The reversal of 2166507625500 is 55267056612.

2166507625500 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 50 + 76 + 25 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166507625507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8170296 + ... + 8431295.

It is an arithmetic number, because the mean of its divisors is an integer number (49099208340).

Almost surely, 2^{2166507625500} is an apocalyptic number.

2166507625500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166507625500 is an abundant number, since it is smaller than the sum of its proper divisors (4903778375460).

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

2166507625500 is a wasteful number, since it uses less digits than its factorization.

2166507625500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16601645 (or 16601630 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2166507625500 in words is "two trillion, one hundred sixty-six billion, five hundred seven million, six hundred twenty-five thousand, five hundred".