85872967680 has 512 divisors, whose sum is σ = 298965427200. Its totient is φ = 20963131392.

The previous prime is 85872967643. The next prime is 85872967717. The reversal of 85872967680 is 8676927858.

It is an interprime number because it is at equal distance from previous prime (85872967643) and next prime (85872967717).

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359301001 + ... + 359301239.

It is an arithmetic number, because the mean of its divisors is an integer number (583916850).

Almost surely, 2^85872967680 is an apocalyptic number.

85872967680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85872967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149482713600).

85872967680 is an abundant number, since it is smaller than the sum of its proper divisors (213092459520).

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

85872967680 is a wasteful number, since it uses less digits than its factorization.

85872967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 85872967680 in words is "eighty-five billion, eight hundred seventy-two million, nine hundred sixty-seven thousand, six hundred eighty".