979865981952 has 352 divisors, whose sum is σ = 3091894654464. Its totient is φ = 271980134400.

The previous prime is 979865981951. The next prime is 979865981977. The reversal of 979865981952 is 259189568979.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979865981951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57539263 + ... + 57556289.

It is an arithmetic number, because the mean of its divisors is an integer number (8783791632).

Almost surely, 2^979865981952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979865981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545947327232).

979865981952 is an abundant number, since it is smaller than the sum of its proper divisors (2112028672512).

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

979865981952 is a wasteful number, since it uses less digits than its factorization.

979865981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17205 (or 17187 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 78.

The spelling of 979865981952 in words is "nine hundred seventy-nine billion, eight hundred sixty-five million, nine hundred eighty-one thousand, nine hundred fifty-two".