85099122426240 has 512 divisors, whose sum is σ = 324964362240000. Its totient is φ = 20922462756864.

The previous prime is 85099122426223. The next prime is 85099122426257. The reversal of 85099122426240 is 4262422199058.

85099122426240 is a `hidden beast` number, since 8 + 5 + 0 + 9 + 9 + 1 + 2 + 2 + 4 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85099122426223) and next prime (85099122426257).

It is a super-3 number, since 3×85099122426240³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188247201 + ... + 188698719.

It is an arithmetic number, because the mean of its divisors is an integer number (634696020000).

Almost surely, 2^{85099122426240} is an apocalyptic number.

85099122426240 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 85099122426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162482181120000).

85099122426240 is an abundant number, since it is smaller than the sum of its proper divisors (239865239813760).

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

85099122426240 is a wasteful number, since it uses less digits than its factorization.

85099122426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452399 (or 452381 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 85099122426240 in words is "eighty-five trillion, ninety-nine billion, one hundred twenty-two million, four hundred twenty-six thousand, two hundred forty".