85821890394240 has 4608 divisors, whose sum is σ = 434040458342400. Its totient is φ = 15738405027840.

The previous prime is 85821890394179. The next prime is 85821890394257. The reversal of 85821890394240 is 4249309812858.

85821890394240 is a `hidden beast` number, since 8 + 5 + 8 + 218 + 9 + 0 + 394 + 24 + 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 575 ways as a sum of consecutive naturals, for example, 39385905471 + ... + 39385907649.

It is an arithmetic number, because the mean of its divisors is an integer number (94192807800).

Almost surely, 2^{85821890394240} is an apocalyptic number.

85821890394240 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 85821890394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217020229171200).

85821890394240 is an abundant number, since it is smaller than the sum of its proper divisors (348218567948160).

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

85821890394240 is a wasteful number, since it uses less digits than its factorization.

85821890394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 85821890394240 in words is "eighty-five trillion, eight hundred twenty-one billion, eight hundred ninety million, three hundred ninety-four thousand, two hundred forty".