972526608000 has 512 divisors, whose sum is σ = 3596812128000. Its totient is φ = 258278400000.

The previous prime is 972526607981. The next prime is 972526608043. The reversal of 972526608000 is 806625279.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108427516 + ... + 108436484.

Almost surely, 2^972526608000 is an apocalyptic number.

972526608000 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 972526608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798406064000).

972526608000 is an abundant number, since it is smaller than the sum of its proper divisors (2624285520000).

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

972526608000 is a wasteful number, since it uses less digits than its factorization.

972526608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 972526608000 in words is "nine hundred seventy-two billion, five hundred twenty-six million, six hundred eight thousand".