85263635340 has 384 divisors, whose sum is σ = 299165368320. Its totient is φ = 20003106816.

The previous prime is 85263635339. The next prime is 85263635341. The reversal of 85263635340 is 4353636258.

85263635340 is a `hidden beast` number, since 8 + 5 + 2 + 6 + 3 + 635 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85263635339) and next prime (85263635341).

It is a super-2 number, since 2×85263635340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85263635341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54411237 + ... + 54412803.

It is an arithmetic number, because the mean of its divisors is an integer number (779076480).

Almost surely, 2^85263635340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85263635340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149582684160).

85263635340 is an abundant number, since it is smaller than the sum of its proper divisors (213901732980).

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

85263635340 is a wasteful number, since it uses less digits than its factorization.

85263635340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 85263635340 in words is "eighty-five billion, two hundred sixty-three million, six hundred thirty-five thousand, three hundred forty".