972262771200 has 2880 divisors, whose sum is σ = 4559365324800. Its totient is φ = 192695500800.

The previous prime is 972262771163. The next prime is 972262771211. The reversal of 972262771200 is 2177262279.

972262771200 is a `hidden beast` number, since 9 + 7 + 2 + 2 + 627 + 7 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 10924300756 + ... + 10924300844.

It is an arithmetic number, because the mean of its divisors is an integer number (1583112960).

Almost surely, 2^972262771200 is an apocalyptic number.

972262771200 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 972262771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279682662400).

972262771200 is an abundant number, since it is smaller than the sum of its proper divisors (3587102553600).

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

972262771200 is a wasteful number, since it uses less digits than its factorization.

972262771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 972262771200 in words is "nine hundred seventy-two billion, two hundred sixty-two million, seven hundred seventy-one thousand, two hundred".