85687495920000 has 1920 divisors, whose sum is σ = 345368387364000. Its totient is φ = 21015355392000.

The previous prime is 85687495919989. The next prime is 85687495920001. The reversal of 85687495920000 is 2959478658.

85687495920000 is a `hidden beast` number, since 8 + 56 + 8 + 7 + 495 + 92 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a self number, because there is not a number n which added to its sum of digits gives 85687495920000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85687495920001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 103362479586 + ... + 103362480414.

Almost surely, 2^{85687495920000} is an apocalyptic number.

85687495920000 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 85687495920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172684193682000).

85687495920000 is an abundant number, since it is smaller than the sum of its proper divisors (259680891444000).

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

85687495920000 is an equidigital number, since it uses as much as digits as its factorization.

85687495920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 85687495920000 in words is "eighty-five trillion, six hundred eighty-seven billion, four hundred ninety-five million, nine hundred twenty thousand".