970970260800 has 336 divisors, whose sum is σ = 3258545671872. Its totient is φ = 253034496000.

The previous prime is 970970260789. The next prime is 970970260801. The reversal of 970970260800 is 8062079079.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 970970260800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970970260801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65373375 + ... + 65388225.

Almost surely, 2^970970260800 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 970970260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629272835936).

970970260800 is an abundant number, since it is smaller than the sum of its proper divisors (2287575411072).

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

970970260800 is a wasteful number, since it uses less digits than its factorization.

970970260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15186 (or 15171 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 970970260800 in words is "nine hundred seventy billion, nine hundred seventy million, two hundred sixty thousand, eight hundred".