85073570942976 has 4160 divisors, whose sum is σ = 355132990586880. Its totient is φ = 19619905536000.

The previous prime is 85073570942953. The next prime is 85073570943001. The reversal of 85073570942976 is 67924907537058.

85073570942976 is a `hidden beast` number, since 8 + 5 + 0 + 7 + 3 + 570 + 9 + 42 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 955882819540 + ... + 955882819628.

Almost surely, 2^{85073570942976} 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 85073570942976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177566495293440).

85073570942976 is an abundant number, since it is smaller than the sum of its proper divisors (270059419643904).

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

85073570942976 is a wasteful number, since it uses less digits than its factorization.

85073570942976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 800150400, while the sum is 72.

The spelling of 85073570942976 in words is "eighty-five trillion, seventy-three billion, five hundred seventy million, nine hundred forty-two thousand, nine hundred seventy-six".