215687616480 has 576 divisors, whose sum is σ = 895955074560. Its totient is φ = 47965353984.

The previous prime is 215687616451. The next prime is 215687616491. The reversal of 215687616480 is 84616786512.

215687616480 is a `hidden beast` number, since 2 + 1 + 568 + 76 + 1 + 6 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×215687616480² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10059211 + ... + 10080629.

It is an arithmetic number, because the mean of its divisors is an integer number (1555477560).

Almost surely, 2^215687616480 is an apocalyptic number.

215687616480 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 215687616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447977537280).

215687616480 is an abundant number, since it is smaller than the sum of its proper divisors (680267458080).

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

215687616480 is a wasteful number, since it uses less digits than its factorization.

215687616480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21493 (or 21473 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 215687616480 in words is "two hundred fifteen billion, six hundred eighty-seven million, six hundred sixteen thousand, four hundred eighty".