857465314992000 has 3072 divisors, whose sum is σ = 3887809867468800. Its totient is φ = 177892982784000.

The previous prime is 857465314991993. The next prime is 857465314992049. The reversal of 857465314992000 is 299413564758.

857465314992000 is a `hidden beast` number, since 8 + 5 + 7 + 4 + 6 + 531 + 4 + 9 + 92 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23454269721 + ... + 23454306279.

It is an arithmetic number, because the mean of its divisors is an integer number (1265563107900).

It is a 1-persistent number, because it is pandigital, but 2⋅857465314992000 = 1714930629984000 is not.

Almost surely, 2^{857465314992000} is an apocalyptic number.

857465314992000 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 857465314992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943904933734400).

857465314992000 is an abundant number, since it is smaller than the sum of its proper divisors (3030344552476800).

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

857465314992000 is a wasteful number, since it uses less digits than its factorization.

857465314992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36702 (or 36677 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 857465314992000 in words is "eight hundred fifty-seven trillion, four hundred sixty-five billion, three hundred fourteen million, nine hundred ninety-two thousand".