85740917391360 has 2304 divisors, whose sum is σ = 379627658392320. Its totient is φ = 17701514772480.

The previous prime is 85740917391359. The next prime is 85740917391379. The reversal of 85740917391360 is 6319371904758.

85740917391360 is a `hidden beast` number, since 8 + 57 + 409 + 17 + 39 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×85740917391360² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 185185566489 + ... + 185185566951.

It is an arithmetic number, because the mean of its divisors is an integer number (164768948955).

Almost surely, 2^{85740917391360} is an apocalyptic number.

85740917391360 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 85740917391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189813829196160).

85740917391360 is an abundant number, since it is smaller than the sum of its proper divisors (293886741000960).

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

85740917391360 is a wasteful number, since it uses less digits than its factorization.

85740917391360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 85740917391360 in words is "eighty-five trillion, seven hundred forty billion, nine hundred seventeen million, three hundred ninety-one thousand, three hundred sixty".