85185940094640 has 4800 divisors, whose sum is σ = 404438514278400. Its totient is φ = 16429754880000.

The previous prime is 85185940094639. The next prime is 85185940094653. The reversal of 85185940094640 is 4649004958158.

85185940094640 is a `hidden beast` number, since 8 + 5 + 1 + 85 + 9 + 400 + 94 + 64 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 564145298565 + ... + 564145298715.

It is an arithmetic number, because the mean of its divisors is an integer number (84258023808).

Almost surely, 2^{85185940094640} is an apocalyptic number.

85185940094640 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 85185940094640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202219257139200).

85185940094640 is an abundant number, since it is smaller than the sum of its proper divisors (319252574183760).

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

85185940094640 is a wasteful number, since it uses less digits than its factorization.

85185940094640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 85185940094640 in words is "eighty-five trillion, one hundred eighty-five billion, nine hundred forty million, ninety-four thousand, six hundred forty".