12757561100 has 72 divisors (see below), whose sum is σ = 29179226160. Its totient is φ = 4834036480.

The previous prime is 12757561079. The next prime is 12757561109. The reversal of 12757561100 is 116575721.

It is not an unprimeable number, because it can be changed into a prime (12757561109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112199 + ... + 195201.

It is an arithmetic number, because the mean of its divisors is an integer number (405267030).

Almost surely, 2^12757561100 is an apocalyptic number.

12757561100 is a gapful number since it is divisible by the number (10) 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 12757561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14589613080).

12757561100 is an abundant number, since it is smaller than the sum of its proper divisors (16421665060).

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

12757561100 is a wasteful number, since it uses less digits than its factorization.

12757561100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83099 (or 83092 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 35.

The spelling of 12757561100 in words is "twelve billion, seven hundred fifty-seven million, five hundred sixty-one thousand, one hundred".