11762568090 has 672 divisors, whose sum is σ = 42389600400. Its totient is φ = 2320109568.

The previous prime is 11762568067. The next prime is 11762568119. The reversal of 11762568090 is 9086526711.

11762568090 is a `hidden beast` number, since 1 + 17 + 625 + 6 + 8 + 0 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2214737721 + 9547830369 = 47061^2 + 97713^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 78943336 + ... + 78943484.

Almost surely, 2^11762568090 is an apocalyptic number.

11762568090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11762568090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21194800200).

11762568090 is an abundant number, since it is smaller than the sum of its proper divisors (30627032310).

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

11762568090 is a wasteful number, since it uses less digits than its factorization.

11762568090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

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

The spelling of 11762568090 in words is "eleven billion, seven hundred sixty-two million, five hundred sixty-eight thousand, ninety".