972825729876 has 1080 divisors, whose sum is σ = 3671207771616. Its totient is φ = 220782723840.

The previous prime is 972825729847. The next prime is 972825729919. The reversal of 972825729876 is 678927528279.

972825729876 is a `hidden beast` number, since 9 + 7 + 282 + 57 + 298 + 7 + 6 = 666.

It is a congruent number.

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 359 ways as a sum of consecutive naturals, for example, 819566155 + ... + 819567341.

Almost surely, 2^972825729876 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 972825729876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835603885808).

972825729876 is an abundant number, since it is smaller than the sum of its proper divisors (2698382041740).

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

972825729876 is a wasteful number, since it uses less digits than its factorization.

972825729876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1242 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 972825729876 in words is "nine hundred seventy-two billion, eight hundred twenty-five million, seven hundred twenty-nine thousand, eight hundred seventy-six".