85099210035840 has 6144 divisors, whose sum is σ = 440522966016000. Its totient is φ = 15216574464000.

The previous prime is 85099210035799. The next prime is 85099210035913. The reversal of 85099210035840 is 4853001299058.

85099210035840 is a `hidden beast` number, since 8 + 50 + 9 + 9 + 2 + 1 + 0 + 0 + 3 + 584 + 0 = 666.

It is a super-2 number, since 2×85099210035840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 163338214780 + ... + 163338215300.

It is an arithmetic number, because the mean of its divisors is an integer number (71699701500).

Almost surely, 2^{85099210035840} is an apocalyptic number.

85099210035840 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 85099210035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220261483008000).

85099210035840 is an abundant number, since it is smaller than the sum of its proper divisors (355423755980160).

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

85099210035840 is a wasteful number, since it uses less digits than its factorization.

85099210035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 85099210035840 in words is "eighty-five trillion, ninety-nine billion, two hundred ten million, thirty-five thousand, eight hundred forty".