85436832983040 has 2688 divisors, whose sum is σ = 403418108620800. Its totient is φ = 16816584130560.

The previous prime is 85436832983023. The next prime is 85436832983057. The reversal of 85436832983040 is 4038923863458.

It is a happy number.

85436832983040 is a `hidden beast` number, since 8 + 5 + 4 + 36 + 8 + 3 + 298 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85436832983023) and next prime (85436832983057).

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10921232569 + ... + 10921240391.

It is an arithmetic number, because the mean of its divisors is an integer number (150081141600).

Almost surely, 2^{85436832983040} is an apocalyptic number.

85436832983040 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 85436832983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201709054310400).

85436832983040 is an abundant number, since it is smaller than the sum of its proper divisors (317981275637760).

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

85436832983040 is a wasteful number, since it uses less digits than its factorization.

85436832983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905 (or 7870 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 85436832983040 in words is "eighty-five trillion, four hundred thirty-six billion, eight hundred thirty-two million, nine hundred eighty-three thousand, forty".