85910958581760 has 1536 divisors, whose sum is σ = 347307524928000. Its totient is φ = 19969496580096.

The previous prime is 85910958581743. The next prime is 85910958581761. The reversal of 85910958581760 is 6718585901958.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (85910958581761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23013916854 + ... + 23013920586.

It is an arithmetic number, because the mean of its divisors is an integer number (226111669875).

Almost surely, 2^{85910958581760} is an apocalyptic number.

85910958581760 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 85910958581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173653762464000).

85910958581760 is an abundant number, since it is smaller than the sum of its proper divisors (261396566346240).

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

85910958581760 is a wasteful number, since it uses less digits than its factorization.

85910958581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4138 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 72.

The spelling of 85910958581760 in words is "eighty-five trillion, nine hundred ten billion, nine hundred fifty-eight million, five hundred eighty-one thousand, seven hundred sixty".