215061862164480 has 1056 divisors, whose sum is σ = 778745224202400. Its totient is φ = 57000738521088.

The previous prime is 215061862164473. The next prime is 215061862164481. The reversal of 215061862164480 is 84461268160512.

215061862164480 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 6 + 1 + 8 + 621 + 6 + 4 + 4 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (215061862164481) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 108234454047 + ... + 108234456033.

Almost surely, 2^{215061862164480} is an apocalyptic number.

215061862164480 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 215061862164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389372612101200).

215061862164480 is an abundant number, since it is smaller than the sum of its proper divisors (563683362037920).

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

215061862164480 is an frugal number, since it uses more digits than its factorization.

215061862164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 215061862164480 in words is "two hundred fifteen trillion, sixty-one billion, eight hundred sixty-two million, one hundred sixty-four thousand, four hundred eighty".