972981720000 has 980 divisors, whose sum is σ = 3683385420616. Its totient is φ = 254741760000.

The previous prime is 972981719999. The next prime is 972981720001. The reversal of 972981720000 is 27189279.

It is an interprime number because it is at equal distance from previous prime (972981719999) and next prime (972981720001).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972981720001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1778759727 + ... + 1778760273.

Almost surely, 2^972981720000 is an apocalyptic number.

972981720000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972981720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841692710308).

972981720000 is an abundant number, since it is smaller than the sum of its proper divisors (2710403700616).

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

972981720000 is an frugal number, since it uses more digits than its factorization.

972981720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 972981720000 in words is "nine hundred seventy-two billion, nine hundred eighty-one million, seven hundred twenty thousand".