972542270700 has 2880 divisors, whose sum is σ = 4573507276800. Its totient is φ = 172104652800.

The previous prime is 972542270647. The next prime is 972542270717. The reversal of 972542270700 is 7072245279.

972542270700 is a `hidden beast` number, since 97 + 2 + 5 + 422 + 70 + 70 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 9089180047 + ... + 9089180153.

It is an arithmetic number, because the mean of its divisors is an integer number (1588023360).

Almost surely, 2^972542270700 is an apocalyptic number.

972542270700 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 972542270700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286753638400).

972542270700 is an abundant number, since it is smaller than the sum of its proper divisors (3600965006100).

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

972542270700 is a wasteful number, since it uses less digits than its factorization.

972542270700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 972542270700 in words is "nine hundred seventy-two billion, five hundred forty-two million, two hundred seventy thousand, seven hundred".