85949229749760 has 480 divisors, whose sum is σ = 337435567428960. Its totient is φ = 20043219861504.

The previous prime is 85949229749711. The next prime is 85949229749767. The reversal of 85949229749760 is 6794792294958.

85949229749760 is a `hidden beast` number, since 8 + 5 + 9 + 49 + 2 + 29 + 7 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 85949229749760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85949229749767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860609 + ... + 13242368.

It is an arithmetic number, because the mean of its divisors is an integer number (702990765477).

Almost surely, 2^{85949229749760} is an apocalyptic number.

85949229749760 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 85949229749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168717783714480).

85949229749760 is an abundant number, since it is smaller than the sum of its proper divisors (251486337679200).

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

85949229749760 is a wasteful number, since it uses less digits than its factorization.

85949229749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15103038 (or 15103019 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 85949229749760 in words is "eighty-five trillion, nine hundred forty-nine billion, two hundred twenty-nine million, seven hundred forty-nine thousand, seven hundred sixty".