970028010000 has 1125 divisors, whose sum is σ = 4017429066651. Its totient is φ = 218411424000.

The previous prime is 970028009989. The next prime is 970028010013. The reversal of 970028010000 is 10820079.

The square root of 970028010000 is 984900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 76050195984 + 893977814016 = 275772^2 + 945504^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 14478029967 + ... + 14478030033.

Almost surely, 2^970028010000 is an apocalyptic number.

970028010000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

970028010000 is the 984900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970028010000

970028010000 is an abundant number, since it is smaller than the sum of its proper divisors (3047401056651).

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

970028010000 is an frugal number, since it uses more digits than its factorization.

970028010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 970028010000 its reverse (10820079), we get a palindrome (970038830079).

The spelling of 970028010000 in words is "nine hundred seventy billion, twenty-eight million, ten thousand".