215103271680 has 1152 divisors, whose sum is σ = 883431843840. Its totient is φ = 49049763840.

The previous prime is 215103271679. The next prime is 215103271697. The reversal of 215103271680 is 86172301512.

215103271680 is a `hidden beast` number, since 21 + 510 + 32 + 7 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 638288472 + ... + 638288808.

It is an arithmetic number, because the mean of its divisors is an integer number (766867920).

Almost surely, 2^215103271680 is an apocalyptic number.

215103271680 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 215103271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441715921920).

215103271680 is an abundant number, since it is smaller than the sum of its proper divisors (668328572160).

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

215103271680 is a wasteful number, since it uses less digits than its factorization.

215103271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 215103271680 in words is "two hundred fifteen billion, one hundred three million, two hundred seventy-one thousand, six hundred eighty".