978312921600 has 480 divisors, whose sum is σ = 3701074544640. Its totient is φ = 223154749440.

The previous prime is 978312921559. The next prime is 978312921613. The reversal of 978312921600 is 6129213879.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 978312921600.

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 47 ways as a sum of consecutive naturals, for example, 140578921 + ... + 140585879.

It is an arithmetic number, because the mean of its divisors is an integer number (7710571968).

Almost surely, 2^978312921600 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 978312921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850537272320).

978312921600 is an abundant number, since it is smaller than the sum of its proper divisors (2722761623040).

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

978312921600 is a wasteful number, since it uses less digits than its factorization.

978312921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7499 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 978312921600 in words is "nine hundred seventy-eight billion, three hundred twelve million, nine hundred twenty-one thousand, six hundred".