12761586090 has 48 divisors (see below), whose sum is σ = 36196501536. Its totient is φ = 3093717600.

The previous prime is 12761586059. The next prime is 12761586109. The reversal of 12761586090 is 9068516721.

12761586090 is a `hidden beast` number, since 1 + 2 + 7 + 61 + 586 + 0 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6444256 + ... + 6446235.

It is an arithmetic number, because the mean of its divisors is an integer number (754093782).

Almost surely, 2^12761586090 is an apocalyptic number.

12761586090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12761586090 is an abundant number, since it is smaller than the sum of its proper divisors (23434915446).

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

12761586090 is a wasteful number, since it uses less digits than its factorization.

12761586090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12890515 (or 12890512 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 12761586090 in words is "twelve billion, seven hundred sixty-one million, five hundred eighty-six thousand, ninety".