855349618556160 has 3456 divisors, whose sum is σ = 4177384008806400. Its totient is φ = 160910616821760.

The previous prime is 855349618556123. The next prime is 855349618556221. The reversal of 855349618556160 is 61655816943558.

855349618556160 is a `hidden beast` number, since 8 + 5 + 5 + 3 + 4 + 9 + 6 + 1 + 8 + 556 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×855349618556160² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17268950595 + ... + 17269000125.

Almost surely, 2^{855349618556160} is an apocalyptic number.

855349618556160 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 855349618556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088692004403200).

855349618556160 is an abundant number, since it is smaller than the sum of its proper divisors (3322034390250240).

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

855349618556160 is a wasteful number, since it uses less digits than its factorization.

855349618556160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49634 (or 49597 counting only the distinct ones).

The product of its (nonzero) digits is 933120000, while the sum is 72.

The spelling of 855349618556160 in words is "eight hundred fifty-five trillion, three hundred forty-nine billion, six hundred eighteen million, five hundred fifty-six thousand, one hundred sixty".