972482559120 has 140 divisors (see below), whose sum is σ = 3389982358716. Its totient is φ = 259328666880.

The previous prime is 972482559109. The next prime is 972482559187. The reversal of 972482559120 is 21955284279.

972482559120 is a `hidden beast` number, since 9 + 7 + 2 + 4 + 8 + 25 + 591 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 180332718336 + 792149840784 = 424656^2 + 890028^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 8279151 + ... + 8395790.

Almost surely, 2^972482559120 is an apocalyptic number.

972482559120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

972482559120 is an abundant number, since it is smaller than the sum of its proper divisors (2417499799596).

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

972482559120 is a wasteful number, since it uses less digits than its factorization.

972482559120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16674972 (or 16674951 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 972482559120 in words is "nine hundred seventy-two billion, four hundred eighty-two million, five hundred fifty-nine thousand, one hundred twenty".