85932887040 has 2464 divisors, whose sum is σ = 433011833856. Its totient is φ = 15765995520.

The previous prime is 85932887023. The next prime is 85932887041. The reversal of 85932887040 is 4078823958.

It is a happy number.

85932887040 is a `hidden beast` number, since 8 + 593 + 2 + 8 + 8 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a super-2 number, since 2×85932887040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85932887041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3736212469 + ... + 3736212491.

Almost surely, 2^85932887040 is an apocalyptic number.

85932887040 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 85932887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216505916928).

85932887040 is an abundant number, since it is smaller than the sum of its proper divisors (347078946816).

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

85932887040 is a wasteful number, since it uses less digits than its factorization.

85932887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 85932887040 in words is "eighty-five billion, nine hundred thirty-two million, eight hundred eighty-seven thousand, forty".