857907448320 has 640 divisors, whose sum is σ = 3092166088704. Its totient is φ = 201331113984.

The previous prime is 857907448273. The next prime is 857907448361. The reversal of 857907448320 is 23844709758.

It is a tau number, because it is divible by the number of its divisors (640).

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, 1256086699 + ... + 1256087381.

Almost surely, 2^857907448320 is an apocalyptic number.

857907448320 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 857907448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546083044352).

857907448320 is an abundant number, since it is smaller than the sum of its proper divisors (2234258640384).

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

857907448320 is a wasteful number, since it uses less digits than its factorization.

857907448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 857907448320 in words is "eight hundred fifty-seven billion, nine hundred seven million, four hundred forty-eight thousand, three hundred twenty".