11729118270870 has 2560 divisors, whose sum is σ = 45383804928000. Its totient is φ = 2139830784000.

The previous prime is 11729118270841. The next prime is 11729118270893. The reversal of 11729118270870 is 7807281192711.

It is a happy number.

11729118270870 is a `hidden beast` number, since 1 + 1 + 7 + 291 + 1 + 8 + 270 + 87 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 116129883820 + ... + 116129883920.

It is an arithmetic number, because the mean of its divisors is an integer number (17728048800).

Almost surely, 2^{11729118270870} is an apocalyptic number.

11729118270870 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 11729118270870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22691902464000).

11729118270870 is an abundant number, since it is smaller than the sum of its proper divisors (33654686657130).

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

11729118270870 is a wasteful number, since it uses less digits than its factorization.

11729118270870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 54.

The spelling of 11729118270870 in words is "eleven trillion, seven hundred twenty-nine billion, one hundred eighteen million, two hundred seventy thousand, eight hundred seventy".