215928471600 has 1200 divisors, whose sum is σ = 884107699200. Its totient is φ = 50134671360.

The previous prime is 215928471599. The next prime is 215928471601. The reversal of 215928471600 is 6174829512.

215928471600 is a `hidden beast` number, since 2 + 1 + 592 + 8 + 47 + 16 + 0 + 0 = 666.

215928471600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215928471599) and next prime (215928471601).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (215928471601) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 491864181 + ... + 491864619.

It is an arithmetic number, because the mean of its divisors is an integer number (736756416).

Almost surely, 2^215928471600 is an apocalyptic number.

215928471600 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 215928471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442053849600).

215928471600 is an abundant number, since it is smaller than the sum of its proper divisors (668179227600).

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

215928471600 is a wasteful number, since it uses less digits than its factorization.

215928471600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 215928471600 in words is "two hundred fifteen billion, nine hundred twenty-eight million, four hundred seventy-one thousand, six hundred".