11900000970 has 384 divisors, whose sum is σ = 37679136768. Its totient is φ = 2567462400.

The previous prime is 11900000953. The next prime is 11900000971. The reversal of 11900000970 is 7900000911.

11900000970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11900000970² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11900000971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62303575 + ... + 62303765.

It is an arithmetic number, because the mean of its divisors is an integer number (98122752).

Almost surely, 2^11900000970 is an apocalyptic number.

11900000970 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 11900000970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839568384).

11900000970 is an abundant number, since it is smaller than the sum of its proper divisors (25779135798).

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

11900000970 is a wasteful number, since it uses less digits than its factorization.

11900000970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The spelling of 11900000970 in words is "eleven billion, nine hundred million, nine hundred seventy", and thus it is an aban number.