10979279418690 has 768 divisors, whose sum is σ = 34676957952000. Its totient is φ = 2471319797760.

The previous prime is 10979279418689. The next prime is 10979279418733. The reversal of 10979279418690 is 9681497297901.

10979279418690 is a `hidden beast` number, since 1 + 0 + 97 + 9 + 279 + 4 + 186 + 90 = 666.

It is a super-2 number, since 2×10979279418690² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7792248706 + ... + 7792250114.

It is an arithmetic number, because the mean of its divisors is an integer number (45152289000).

Almost surely, 2^{10979279418690} is an apocalyptic number.

10979279418690 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 10979279418690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17338478976000).

10979279418690 is an abundant number, since it is smaller than the sum of its proper divisors (23697678533310).

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

10979279418690 is a wasteful number, since it uses less digits than its factorization.

10979279418690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 72.

The spelling of 10979279418690 in words is "ten trillion, nine hundred seventy-nine billion, two hundred seventy-nine million, four hundred eighteen thousand, six hundred ninety".