85953495040 has 600 divisors, whose sum is σ = 264327456960. Its totient is φ = 26704871424.

The previous prime is 85953494981. The next prime is 85953495071. The reversal of 85953495040 is 4059435958.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3737108469 + ... + 3737108491.

Almost surely, 2^85953495040 is an apocalyptic number.

85953495040 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 85953495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132163728480).

85953495040 is an abundant number, since it is smaller than the sum of its proper divisors (178373961920).

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

85953495040 is an frugal number, since it uses more digits than its factorization.

85953495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 52.

The spelling of 85953495040 in words is "eighty-five billion, nine hundred fifty-three million, four hundred ninety-five thousand, forty".