467855516160 has 640 divisors, whose sum is σ = 1735335360000. Its totient is φ = 119359733760.

The previous prime is 467855516159. The next prime is 467855516171. The reversal of 467855516160 is 61615558764.

467855516160 is a `hidden beast` number, since 4 + 6 + 7 + 85 + 551 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×467855516160² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 467855516097 and 467855516106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156002341 + ... + 156005339.

It is an arithmetic number, because the mean of its divisors is an integer number (2711461500).

Almost surely, 2^467855516160 is an apocalyptic number.

467855516160 is a gapful number since it is divisible by the number (40) 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 467855516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867667680000).

467855516160 is an abundant number, since it is smaller than the sum of its proper divisors (1267479843840).

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

467855516160 is a wasteful number, since it uses less digits than its factorization.

467855516160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 467855516160 in words is "four hundred sixty-seven billion, eight hundred fifty-five million, five hundred sixteen thousand, one hundred sixty".