85972084945488 has 240 divisors, whose sum is σ = 276409851494400. Its totient is φ = 24435419178240.

The previous prime is 85972084945459. The next prime is 85972084945553. The reversal of 85972084945488 is 88454948027958.

85972084945488 is a `hidden beast` number, since 8 + 5 + 9 + 7 + 2 + 0 + 84 + 9 + 454 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233741793 + ... + 234109311.

It is an arithmetic number, because the mean of its divisors is an integer number (1151707714560).

Almost surely, 2^{85972084945488} 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 85972084945488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138204925747200).

85972084945488 is an abundant number, since it is smaller than the sum of its proper divisors (190437766548912).

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

85972084945488 is a wasteful number, since it uses less digits than its factorization.

85972084945488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368750 (or 368741 counting only the distinct ones).

The product of its (nonzero) digits is 7431782400, while the sum is 81.

The spelling of 85972084945488 in words is "eighty-five trillion, nine hundred seventy-two billion, eighty-four million, nine hundred forty-five thousand, four hundred eighty-eight".