85892069007360 has 1344 divisors, whose sum is σ = 375918226145280. Its totient is φ = 17621322301440.

The previous prime is 85892069007331. The next prime is 85892069007397. The reversal of 85892069007360 is 6370096029858.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 2242417969 + ... + 2242456271.

It is an arithmetic number, because the mean of its divisors is an integer number (279701061120).

Almost surely, 2^{85892069007360} is an apocalyptic number.

85892069007360 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 85892069007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187959113072640).

85892069007360 is an abundant number, since it is smaller than the sum of its proper divisors (290026157137920).

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

85892069007360 is a wasteful number, since it uses less digits than its factorization.

85892069007360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38437 (or 38410 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 85892069007360 in words is "eighty-five trillion, eight hundred ninety-two billion, sixty-nine million, seven thousand, three hundred sixty".