972055035000 has 480 divisors, whose sum is σ = 3764556956160. Its totient is φ = 221898528000.

The previous prime is 972055034933. The next prime is 972055035001. The reversal of 972055035000 is 530550279.

972055035000 is a `hidden beast` number, since 9 + 72 + 0 + 550 + 35 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972055035001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 334843549 + ... + 334846451.

It is an arithmetic number, because the mean of its divisors is an integer number (7842826992).

Almost surely, 2^972055035000 is an apocalyptic number.

972055035000 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 972055035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882278478080).

972055035000 is an abundant number, since it is smaller than the sum of its proper divisors (2792501921160).

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

972055035000 is a wasteful number, since it uses less digits than its factorization.

972055035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

Adding to 972055035000 its reverse (530550279), we get a palindrome (972585585279).

The spelling of 972055035000 in words is "nine hundred seventy-two billion, fifty-five million, thirty-five thousand".