215185632480 has 768 divisors, whose sum is σ = 945955584000. Its totient is φ = 45397739520.

The previous prime is 215185632463. The next prime is 215185632499. The reversal of 215185632480 is 84236581512.

215185632480 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 8 + 5 + 632 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19257295 + ... + 19268465.

It is an arithmetic number, because the mean of its divisors is an integer number (1231713000).

Almost surely, 2^215185632480 is an apocalyptic number.

215185632480 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 215185632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472977792000).

215185632480 is an abundant number, since it is smaller than the sum of its proper divisors (730769951520).

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

215185632480 is a wasteful number, since it uses less digits than its factorization.

215185632480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11229 (or 11201 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 215185632480 in words is "two hundred fifteen billion, one hundred eighty-five million, six hundred thirty-two thousand, four hundred eighty".