85907787600 has 240 divisors, whose sum is σ = 287497741824. Its totient is φ = 21886656000.

The previous prime is 85907787593. The next prime is 85907787601. The reversal of 85907787600 is 678770958.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85907787601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35630395 + ... + 35632805.

Almost surely, 2^85907787600 is an apocalyptic number.

85907787600 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 85907787600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143748870912).

85907787600 is an abundant number, since it is smaller than the sum of its proper divisors (201589954224).

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

85907787600 is a wasteful number, since it uses less digits than its factorization.

85907787600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3735 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 57.

The spelling of 85907787600 in words is "eighty-five billion, nine hundred seven million, seven hundred eighty-seven thousand, six hundred".