978521748000 has 192 divisors, whose sum is σ = 3208629086208. Its totient is φ = 260695603200.

The previous prime is 978521747993. The next prime is 978521748019. The reversal of 978521748000 is 847125879.

It is a super-2 number, since 2×978521748000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13006492 + ... + 13081508.

It is an arithmetic number, because the mean of its divisors is an integer number (16711609824).

Almost surely, 2^978521748000 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 978521748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604314543104).

978521748000 is an abundant number, since it is smaller than the sum of its proper divisors (2230107338208).

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

978521748000 is a wasteful number, since it uses less digits than its factorization.

978521748000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76132 (or 76114 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 978521748000 in words is "nine hundred seventy-eight billion, five hundred twenty-one million, seven hundred forty-eight thousand".