85952842295040 has 1152 divisors, whose sum is σ = 352432039680000. Its totient is φ = 19430395084800.

The previous prime is 85952842295029. The next prime is 85952842295113. The reversal of 85952842295040 is 4059224825958.

It is a happy number.

85952842295040 is a `hidden beast` number, since 8 + 5 + 9 + 528 + 42 + 29 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 13641139890 + ... + 13641146190.

It is an arithmetic number, because the mean of its divisors is an integer number (305930590000).

Almost surely, 2^{85952842295040} is an apocalyptic number.

85952842295040 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 85952842295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176216019840000).

85952842295040 is an abundant number, since it is smaller than the sum of its proper divisors (266479197384960).

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

85952842295040 is a wasteful number, since it uses less digits than its factorization.

85952842295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 85952842295040 in words is "eighty-five trillion, nine hundred fifty-two billion, eight hundred forty-two million, two hundred ninety-five thousand, forty".