979216128000 has 1728 divisors, whose sum is σ = 4073734697760. Its totient is φ = 232906752000.

The previous prime is 979216127987. The next prime is 979216128001. The reversal of 979216128000 is 821612979.

979216128000 is a `hidden beast` number, since 9 + 7 + 9 + 21 + 612 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (979216128001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 18475775974 + ... + 18475776026.

Almost surely, 2^979216128000 is an apocalyptic number.

979216128000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 979216128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036867348880).

979216128000 is an abundant number, since it is smaller than the sum of its proper divisors (3094518569760).

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

979216128000 is an frugal number, since it uses more digits than its factorization.

979216128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 979216128000 in words is "nine hundred seventy-nine billion, two hundred sixteen million, one hundred twenty-eight thousand".