85667998775040 has 1152 divisors, whose sum is σ = 339833752473600. Its totient is φ = 20256205455360.

The previous prime is 85667998775027. The next prime is 85667998775089. The reversal of 85667998775040 is 4057789976658.

85667998775040 is a `hidden beast` number, since 8 + 566 + 7 + 9 + 9 + 8 + 7 + 7 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12864991231 + ... + 12864997889.

It is an arithmetic number, because the mean of its divisors is an integer number (294994576800).

Almost surely, 2^{85667998775040} is an apocalyptic number.

85667998775040 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 85667998775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169916876236800).

85667998775040 is an abundant number, since it is smaller than the sum of its proper divisors (254165753698560).

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

85667998775040 is a wasteful number, since it uses less digits than its factorization.

85667998775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7530 (or 7510 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 81.

The spelling of 85667998775040 in words is "eighty-five trillion, six hundred sixty-seven billion, nine hundred ninety-eight million, seven hundred seventy-five thousand, forty".