857742843888 has 480 divisors, whose sum is σ = 2899594414080. Its totient is φ = 231558082560.

The previous prime is 857742843809. The next prime is 857742843889. The reversal of 857742843888 is 888348247758.

857742843888 is a `hidden beast` number, since 8 + 5 + 77 + 42 + 8 + 438 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857742843889) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 365462331 + ... + 365464677.

It is an arithmetic number, because the mean of its divisors is an integer number (6040821696).

Almost surely, 2^857742843888 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 857742843888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449797207040).

857742843888 is an abundant number, since it is smaller than the sum of its proper divisors (2041851570192).

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

857742843888 is a wasteful number, since it uses less digits than its factorization.

857742843888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2676 counting only the distinct ones).

The product of its digits is 770703360, while the sum is 72.

The spelling of 857742843888 in words is "eight hundred fifty-seven billion, seven hundred forty-two million, eight hundred forty-three thousand, eight hundred eighty-eight".