970659612000 has 1728 divisors, whose sum is σ = 4085095472640. Its totient is φ = 225628416000.

The previous prime is 970659611963. The next prime is 970659612079. The reversal of 970659612000 is 216956079.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3121091845 + ... + 3121092155.

It is an arithmetic number, because the mean of its divisors is an integer number (2364059880).

Almost surely, 2^970659612000 is an apocalyptic number.

970659612000 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 970659612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042547736320).

970659612000 is an abundant number, since it is smaller than the sum of its proper divisors (3114435860640).

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

970659612000 is a wasteful number, since it uses less digits than its factorization.

970659612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 970659612000 in words is "nine hundred seventy billion, six hundred fifty-nine million, six hundred twelve thousand".