85970722692096 has 1056 divisors, whose sum is σ = 294055048175616. Its totient is φ = 24833267712000.

The previous prime is 85970722692083. The next prime is 85970722692139. The reversal of 85970722692096 is 69029622707958.

85970722692096 is a `hidden beast` number, since 8 + 5 + 97 + 0 + 72 + 269 + 209 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 95 ways as a sum of consecutive naturals, for example, 19578846061 + ... + 19578850451.

Almost surely, 2^{85970722692096} 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 85970722692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147027524087808).

85970722692096 is an abundant number, since it is smaller than the sum of its proper divisors (208084325483520).

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

85970722692096 is a wasteful number, since it uses less digits than its factorization.

85970722692096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 85970722692096 in words is "eighty-five trillion, nine hundred seventy billion, seven hundred twenty-two million, six hundred ninety-two thousand, ninety-six".