215074828800 has 1080 divisors, whose sum is σ = 865106918676. Its totient is φ = 52672757760.

The previous prime is 215074828783. The next prime is 215074828841. The reversal of 215074828800 is 8828470512.

It is a happy number.

215074828800 is a `hidden beast` number, since 2 + 1 + 507 + 48 + 28 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 104137871616 + 110936957184 = 322704^2 + 333072^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1091750302 + ... + 1091750498.

Almost surely, 2^215074828800 is an apocalyptic number.

215074828800 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 215074828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432553459338).

215074828800 is an abundant number, since it is smaller than the sum of its proper divisors (650032089876).

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

215074828800 is an frugal number, since it uses more digits than its factorization.

215074828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 215074828800 in words is "two hundred fifteen billion, seventy-four million, eight hundred twenty-eight thousand, eight hundred".