857978023680 has 432 divisors, whose sum is σ = 3083212720224. Its totient is φ = 228441047040.

The previous prime is 857978023673. The next prime is 857978023681. The reversal of 857978023680 is 86320879758.

857978023680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×857978023680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857978023681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247897150 + ... + 247900610.

It is an arithmetic number, because the mean of its divisors is an integer number (7137066482).

Almost surely, 2^857978023680 is an apocalyptic number.

857978023680 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 857978023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541606360112).

857978023680 is an abundant number, since it is smaller than the sum of its proper divisors (2225234696544).

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

857978023680 is an equidigital number, since it uses as much as digits as its factorization.

857978023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 857978023680 in words is "eight hundred fifty-seven billion, nine hundred seventy-eight million, twenty-three thousand, six hundred eighty".