1656006500106 has 128 divisors (see below), whose sum is σ = 4239301017600. Its totient is φ = 469383102720.

The previous prime is 1656006500009. The next prime is 1656006500111. The reversal of 1656006500106 is 6010056006561.

It is a super-2 number, since 2×1656006500106² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23924215 + ... + 23993333.

It is an arithmetic number, because the mean of its divisors is an integer number (33119539200).

Almost surely, 2^{1656006500106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656006500106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119650508800).

1656006500106 is an abundant number, since it is smaller than the sum of its proper divisors (2583294517494).

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

1656006500106 is a wasteful number, since it uses less digits than its factorization.

1656006500106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69641 (or 69635 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1656006500106 in words is "one trillion, six hundred fifty-six billion, six million, five hundred thousand, one hundred six".