857812480416 has 336 divisors, whose sum is σ = 2703944194560. Its totient is φ = 267165319680.

The previous prime is 857812480361. The next prime is 857812480433. The reversal of 857812480416 is 614084218758.

857812480416 is a `hidden beast` number, since 8 + 57 + 81 + 24 + 80 + 416 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20951421 + ... + 20992323.

It is an arithmetic number, because the mean of its divisors is an integer number (8047452960).

Almost surely, 2^857812480416 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 857812480416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351972097280).

857812480416 is an abundant number, since it is smaller than the sum of its proper divisors (1846131714144).

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

857812480416 is a wasteful number, since it uses less digits than its factorization.

857812480416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40991 (or 40968 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 857812480416 in words is "eight hundred fifty-seven billion, eight hundred twelve million, four hundred eighty thousand, four hundred sixteen".