972782400000 has 480 divisors, whose sum is σ = 3318911076096. Its totient is φ = 253030400000.

The previous prime is 972782399983. The next prime is 972782400001. The reversal of 972782400000 is 4287279.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (972782400001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196797529 + ... + 196802471.

Almost surely, 2^972782400000 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 972782400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659455538048).

972782400000 is an abundant number, since it is smaller than the sum of its proper divisors (2346128676096).

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

972782400000 is an frugal number, since it uses more digits than its factorization.

972782400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

Adding to 972782400000 its reverse (4287279), we get a palindrome (972786687279).

The spelling of 972782400000 in words is "nine hundred seventy-two billion, seven hundred eighty-two million, four hundred thousand".