85754541276960 has 384 divisors, whose sum is σ = 277743409864704. Its totient is φ = 22234313687040.

The previous prime is 85754541276923. The next prime is 85754541276961. The reversal of 85754541276960 is 6967214545758.

It is not an unprimeable number, because it can be changed into a prime (85754541276961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 698601190 + ... + 698723930.

It is an arithmetic number, because the mean of its divisors is an integer number (723290129856).

Almost surely, 2^{85754541276960} is an apocalyptic number.

85754541276960 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 85754541276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138871704932352).

85754541276960 is an abundant number, since it is smaller than the sum of its proper divisors (191988868587744).

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

85754541276960 is a wasteful number, since it uses less digits than its factorization.

85754541276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123116 (or 123108 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 69.

The spelling of 85754541276960 in words is "eighty-five trillion, seven hundred fifty-four billion, five hundred forty-one million, two hundred seventy-six thousand, nine hundred sixty".