971833152000 has 640 divisors, whose sum is σ = 3539483101440. Its totient is φ = 235477401600.

The previous prime is 971833151999. The next prime is 971833152019. The reversal of 971833152000 is 251338179.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×971833152000³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 971833152000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94650867 + ... + 94661133.

It is an arithmetic number, because the mean of its divisors is an integer number (5530442346).

Almost surely, 2^971833152000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971833152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769741550720).

971833152000 is an abundant number, since it is smaller than the sum of its proper divisors (2567649949440).

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

971833152000 is a wasteful number, since it uses less digits than its factorization.

971833152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10349 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 971833152000 in words is "nine hundred seventy-one billion, eight hundred thirty-three million, one hundred fifty-two thousand".