2009151108600 has 192 divisors, whose sum is σ = 6258761913600. Its totient is φ = 533165445120.

The previous prime is 2009151108589. The next prime is 2009151108611. The reversal of 2009151108600 is 68011519002.

It is an interprime number because it is at equal distance from previous prime (2009151108589) and next prime (2009151108611).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106525971 + ... + 106544829.

It is an arithmetic number, because the mean of its divisors is an integer number (32597718300).

Almost surely, 2^{2009151108600} is an apocalyptic number.

2009151108600 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 2009151108600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129380956800).

2009151108600 is an abundant number, since it is smaller than the sum of its proper divisors (4249610805000).

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

2009151108600 is a wasteful number, since it uses less digits than its factorization.

2009151108600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19734 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The spelling of 2009151108600 in words is "two trillion, nine billion, one hundred fifty-one million, one hundred eight thousand, six hundred".