857334481920 has 1584 divisors, whose sum is σ = 3681739571328. Its totient is φ = 191182602240.

The previous prime is 857334481907. The next prime is 857334481963. The reversal of 857334481920 is 29184433758.

It is a happy number.

857334481920 is a `hidden beast` number, since 8 + 5 + 7 + 3 + 3 + 448 + 192 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20910597100 + ... + 20910597140.

Almost surely, 2^857334481920 is an apocalyptic number.

857334481920 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 857334481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840869785664).

857334481920 is an abundant number, since it is smaller than the sum of its proper divisors (2824405089408).

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

857334481920 is an frugal number, since it uses more digits than its factorization.

857334481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 857334481920 in words is "eight hundred fifty-seven billion, three hundred thirty-four million, four hundred eighty-one thousand, nine hundred twenty".