215640545402880 has 672 divisors, whose sum is σ = 805483115813376. Its totient is φ = 53049483067392.

The previous prime is 215640545402839. The next prime is 215640545402941. The reversal of 215640545402880 is 88204545046512.

215640545402880 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 40 + 54 + 540 + 2 + 8 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8736387019 + ... + 8736411701.

It is an arithmetic number, because the mean of its divisors is an integer number (1198635589008).

Almost surely, 2^{215640545402880} is an apocalyptic number.

215640545402880 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 215640545402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402741557906688).

215640545402880 is an abundant number, since it is smaller than the sum of its proper divisors (589842570410496).

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

215640545402880 is a wasteful number, since it uses less digits than its factorization.

215640545402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26556 (or 26529 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 215640545402880 in words is "two hundred fifteen trillion, six hundred forty billion, five hundred forty-five million, four hundred two thousand, eight hundred eighty".