46860587280 has 360 divisors, whose sum is σ = 175554237768. Its totient is φ = 11135287296.

The previous prime is 46860587203. The next prime is 46860587321. The reversal of 46860587280 is 8278506864.

46860587280 is a `hidden beast` number, since 4 + 6 + 8 + 605 + 8 + 7 + 28 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 32382722304 + 14477864976 = 179952^2 + 120324^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7868784 + ... + 7874736.

Almost surely, 2^46860587280 is an apocalyptic number.

46860587280 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 46860587280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87777118884).

46860587280 is an abundant number, since it is smaller than the sum of its proper divisors (128693650488).

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

46860587280 is a wasteful number, since it uses less digits than its factorization.

46860587280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 46860587280 in words is "forty-six billion, eight hundred sixty million, five hundred eighty-seven thousand, two hundred eighty".