972185093880 has 2304 divisors, whose sum is σ = 4383623577600. Its totient is φ = 169827840000.

The previous prime is 972185093863. The next prime is 972185093909. The reversal of 972185093880 is 88390581279.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6438311805 + ... + 6438311955.

It is an arithmetic number, because the mean of its divisors is an integer number (1902614400).

Almost surely, 2^972185093880 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 972185093880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191811788800).

972185093880 is an abundant number, since it is smaller than the sum of its proper divisors (3411438483720).

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

972185093880 is a wasteful number, since it uses less digits than its factorization.

972185093880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 972185093880 in words is "nine hundred seventy-two billion, one hundred eighty-five million, ninety-three thousand, eight hundred eighty".