27151961100 has 144 divisors (see below), whose sum is σ = 87525398016. Its totient is φ = 6442208000.

The previous prime is 27151961093. The next prime is 27151961101. The reversal of 27151961100 is 116915172.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (27151961101) 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, 67570 + ... + 242630.

It is an arithmetic number, because the mean of its divisors is an integer number (607815264).

Almost surely, 2^27151961100 is an apocalyptic number.

27151961100 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 27151961100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43762699008).

27151961100 is an abundant number, since it is smaller than the sum of its proper divisors (60373436916).

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

27151961100 is a wasteful number, since it uses less digits than its factorization.

27151961100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175136 (or 175129 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 33.

The spelling of 27151961100 in words is "twenty-seven billion, one hundred fifty-one million, nine hundred sixty-one thousand, one hundred".