85993539840 has 1152 divisors, whose sum is σ = 354792614400. Its totient is φ = 19779158016.

The previous prime is 85993539781. The next prime is 85993539847. The reversal of 85993539840 is 4893539958.

85993539840 is a `hidden beast` number, since 8 + 5 + 9 + 93 + 539 + 8 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (85993539847) 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, 618658491 + ... + 618658629.

It is an arithmetic number, because the mean of its divisors is an integer number (307979700).

Almost surely, 2^85993539840 is an apocalyptic number.

85993539840 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 85993539840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177396307200).

85993539840 is an abundant number, since it is smaller than the sum of its proper divisors (268799074560).

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

85993539840 is a wasteful number, since it uses less digits than its factorization.

85993539840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 85993539840 in words is "eighty-five billion, nine hundred ninety-three million, five hundred thirty-nine thousand, eight hundred forty".