972085487220 has 144 divisors (see below), whose sum is σ = 3000865008960. Its totient is φ = 254668205568.

The previous prime is 972085487209. The next prime is 972085487249. The reversal of 972085487220 is 22784580279.

972085487220 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 8 + 548 + 72 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492512 + ... + 2856008.

It is an arithmetic number, because the mean of its divisors is an integer number (20839340340).

Almost surely, 2^972085487220 is an apocalyptic number.

972085487220 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 972085487220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500432504480).

972085487220 is an abundant number, since it is smaller than the sum of its proper divisors (2028779521740).

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

972085487220 is a wasteful number, since it uses less digits than its factorization.

972085487220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363774 (or 363769 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 972085487220 in words is "nine hundred seventy-two billion, eighty-five million, four hundred eighty-seven thousand, two hundred twenty".