978881719200 has 1152 divisors, whose sum is σ = 4286245662720. Its totient is φ = 187795046400.

The previous prime is 978881719099. The next prime is 978881719219. The reversal of 978881719200 is 2917188879.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166501861 + ... + 166507739.

It is an arithmetic number, because the mean of its divisors is an integer number (3720699360).

Almost surely, 2^978881719200 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 978881719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143122831360).

978881719200 is an abundant number, since it is smaller than the sum of its proper divisors (3307363943520).

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

978881719200 is a wasteful number, since it uses less digits than its factorization.

978881719200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5990 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 60.

The spelling of 978881719200 in words is "nine hundred seventy-eight billion, eight hundred eighty-one million, seven hundred nineteen thousand, two hundred".