85953984240 has 320 divisors, whose sum is σ = 289819700352. Its totient is φ = 20987904000.

The previous prime is 85953984209. The next prime is 85953984283. The reversal of 85953984240 is 4248935958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117262914 + ... + 117263646.

Almost surely, 2^85953984240 is an apocalyptic number.

85953984240 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 85953984240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144909850176).

85953984240 is an abundant number, since it is smaller than the sum of its proper divisors (203865716112).

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

85953984240 is a wasteful number, since it uses less digits than its factorization.

85953984240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 85953984240 in words is "eighty-five billion, nine hundred fifty-three million, nine hundred eighty-four thousand, two hundred forty".