970450805520 has 960 divisors, whose sum is σ = 3958943040000. Its totient is φ = 212690644992.

The previous prime is 970450805503. The next prime is 970450805603. The reversal of 970450805520 is 25508054079.

970450805520 is a `hidden beast` number, since 9 + 7 + 0 + 45 + 0 + 80 + 5 + 520 = 666.

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

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, 1281968982 + ... + 1281969738.

It is an arithmetic number, because the mean of its divisors is an integer number (4123899000).

Almost surely, 2^970450805520 is an apocalyptic number.

970450805520 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 970450805520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979471520000).

970450805520 is an abundant number, since it is smaller than the sum of its proper divisors (2988492234480).

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

970450805520 is a wasteful number, since it uses less digits than its factorization.

970450805520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

Adding to 970450805520 its reverse (25508054079), we get a palindrome (995958859599).

The spelling of 970450805520 in words is "nine hundred seventy billion, four hundred fifty million, eight hundred five thousand, five hundred twenty".