85772788920 has 768 divisors, whose sum is σ = 363242880000. Its totient is φ = 18087971328.

The previous prime is 85772788901. The next prime is 85772788943. The reversal of 85772788920 is 2988727758.

It is a super-2 number, since 2×85772788920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43340491 + ... + 43342469.

It is an arithmetic number, because the mean of its divisors is an integer number (472972500).

Almost surely, 2^85772788920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85772788920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440000).

85772788920 is an abundant number, since it is smaller than the sum of its proper divisors (277470091080).

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

85772788920 is a wasteful number, since it uses less digits than its factorization.

85772788920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 63.

The spelling of 85772788920 in words is "eighty-five billion, seven hundred seventy-two million, seven hundred eighty-eight thousand, nine hundred twenty".