85629080040 has 512 divisors, whose sum is σ = 315200471040. Its totient is φ = 18186854400.

The previous prime is 85629079937. The next prime is 85629080099. The reversal of 85629080040 is 4008092658.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 85629079974 and 85629080001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164354980 + ... + 164355500.

It is an arithmetic number, because the mean of its divisors is an integer number (615625920).

Almost surely, 2^85629080040 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 85629080040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157600235520).

85629080040 is an abundant number, since it is smaller than the sum of its proper divisors (229571391000).

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

85629080040 is a wasteful number, since it uses less digits than its factorization.

85629080040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 85629080040 in words is "eighty-five billion, six hundred twenty-nine million, eighty thousand, forty".