972806210880 has 224 divisors, whose sum is σ = 3539905161984. Its totient is φ = 221725261824.

The previous prime is 972806210867. The next prime is 972806210881. The reversal of 972806210880 is 88012608279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972806210881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2167114 + ... + 2577206.

Almost surely, 2^972806210880 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 972806210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769952580992).

972806210880 is an abundant number, since it is smaller than the sum of its proper divisors (2567098951104).

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

972806210880 is a wasteful number, since it uses less digits than its factorization.

972806210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410473 (or 410463 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 972806210880 in words is "nine hundred seventy-two billion, eight hundred six million, two hundred ten thousand, eight hundred eighty".