11701350080900 has 18 divisors (see below), whose sum is σ = 25391929675770. Its totient is φ = 4680540032320.

The previous prime is 11701350080881. The next prime is 11701350080909. The reversal of 11701350080900 is 908005310711.

It can be written as a sum of positive squares in 3 ways, for example, as 1709226775876 + 9992123305024 = 1307374^2 + 3161032^2 .

It is not an unprimeable number, because it can be changed into a prime (11701350080909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58506750305 + ... + 58506750504.

It is an arithmetic number, because the mean of its divisors is an integer number (1410662759765).

Almost surely, 2^{11701350080900} is an apocalyptic number.

11701350080900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11701350080900 is an abundant number, since it is smaller than the sum of its proper divisors (13690579594870).

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

11701350080900 is a wasteful number, since it uses less digits than its factorization.

11701350080900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117013500823 (or 117013500816 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 35.

The spelling of 11701350080900 in words is "eleven trillion, seven hundred one billion, three hundred fifty million, eighty thousand, nine hundred".