213460246080 has 560 divisors, whose sum is σ = 790779673200. Its totient is φ = 54607675392.

The previous prime is 213460246079. The next prime is 213460246133. The reversal of 213460246080 is 80642064312.

213460246080 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 602 + 46 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 260112384 + 213200133696 = 16128^2 + 461736^2 .

It is a super-3 number, since 3×213460246080³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70008396 + ... + 70011444.

Almost surely, 2^213460246080 is an apocalyptic number.

213460246080 is a gapful number since it is divisible by the number (20) 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 213460246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395389836600).

213460246080 is an abundant number, since it is smaller than the sum of its proper divisors (577319427120).

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

213460246080 is a wasteful number, since it uses less digits than its factorization.

213460246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 213460246080 in words is "two hundred thirteen billion, four hundred sixty million, two hundred forty-six thousand, eighty".