972263388160 has 88 divisors (see below), whose sum is σ = 2345324539680. Its totient is φ = 386732335104.

The previous prime is 972263388157. The next prime is 972263388163. The reversal of 972263388160 is 61883362279.

It is an interprime number because it is at equal distance from previous prime (972263388157) and next prime (972263388163).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972263388163) 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 7 ways as a sum of consecutive naturals, for example, 386047 + ... + 1446913.

Almost surely, 2^972263388160 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 972263388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172662269840).

972263388160 is an abundant number, since it is smaller than the sum of its proper divisors (1373061151520).

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

972263388160 is a wasteful number, since it uses less digits than its factorization.

972263388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061071 (or 1061053 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 972263388160 in words is "nine hundred seventy-two billion, two hundred sixty-three million, three hundred eighty-eight thousand, one hundred sixty".