972783505920 has 320 divisors, whose sum is σ = 3254480342784. Its totient is φ = 247411507200.

The previous prime is 972783505879. The next prime is 972783505921. The reversal of 972783505920 is 29505387279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (972783505921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62346120 + ... + 62361720.

Almost surely, 2^972783505920 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 972783505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627240171392).

972783505920 is an abundant number, since it is smaller than the sum of its proper divisors (2281696836864).

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

972783505920 is a wasteful number, since it uses less digits than its factorization.

972783505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16003 (or 15987 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 57.

The spelling of 972783505920 in words is "nine hundred seventy-two billion, seven hundred eighty-three million, five hundred five thousand, nine hundred twenty".