27853162500 has 144 divisors (see below), whose sum is σ = 82616587200. Its totient is φ = 7301040000.

The previous prime is 27853162489. The next prime is 27853162553. The reversal of 27853162500 is 526135872.

It is a super-2 number, since 2×27853162500² (a number of 22 digits) contains 22 as substring.

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, 2206206 + ... + 2218794.

It is an arithmetic number, because the mean of its divisors is an integer number (573726300).

Almost surely, 2^27853162500 is an apocalyptic number.

27853162500 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 27853162500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41308293600).

27853162500 is an abundant number, since it is smaller than the sum of its proper divisors (54763424700).

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

27853162500 is a wasteful number, since it uses less digits than its factorization.

27853162500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12680 (or 12658 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 27853162500 in words is "twenty-seven billion, eight hundred fifty-three million, one hundred sixty-two thousand, five hundred".