215405485680 has 960 divisors, whose sum is σ = 879372288000. Its totient is φ = 43103692800.

The previous prime is 215405485639. The next prime is 215405485709. The reversal of 215405485680 is 86584504512.

215405485680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×215405485680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 431674071 + ... + 431674569.

It is an arithmetic number, because the mean of its divisors is an integer number (916012800).

Almost surely, 2^215405485680 is an apocalyptic number.

215405485680 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 215405485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439686144000).

215405485680 is an abundant number, since it is smaller than the sum of its proper divisors (663966802320).

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

215405485680 is a wasteful number, since it uses less digits than its factorization.

215405485680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 48.

The spelling of 215405485680 in words is "two hundred fifteen billion, four hundred five million, four hundred eighty-five thousand, six hundred eighty".