85955858640 has 400 divisors, whose sum is σ = 319603204800. Its totient is φ = 21345306624.

The previous prime is 85955858633. The next prime is 85955858641. The reversal of 85955858640 is 4685855958.

85955858640 is a `hidden beast` number, since 8 + 5 + 9 + 5 + 5 + 8 + 586 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85955858641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7258164 + ... + 7269996.

It is an arithmetic number, because the mean of its divisors is an integer number (799008012).

Almost surely, 2^85955858640 is an apocalyptic number.

85955858640 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 85955858640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159801602400).

85955858640 is an abundant number, since it is smaller than the sum of its proper divisors (233647346160).

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

85955858640 is a wasteful number, since it uses less digits than its factorization.

85955858640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11936 (or 11921 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 63.

The spelling of 85955858640 in words is "eighty-five billion, nine hundred fifty-five million, eight hundred fifty-eight thousand, six hundred forty".