212109576480 has 384 divisors, whose sum is σ = 782460000000. Its totient is φ = 53516795904.

The previous prime is 212109576473. The next prime is 212109576551. The reversal of 212109576480 is 84675901212.

212109576480 is a `hidden beast` number, since 2 + 1 + 2 + 10 + 95 + 76 + 480 = 666.

212109576480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 102516886 + ... + 102518954.

It is an arithmetic number, because the mean of its divisors is an integer number (2037656250).

Almost surely, 2^212109576480 is an apocalyptic number.

212109576480 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 212109576480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391230000000).

212109576480 is an abundant number, since it is smaller than the sum of its proper divisors (570350423520).

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

212109576480 is a wasteful number, since it uses less digits than its factorization.

212109576480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3347 counting only the distinct ones).

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

The spelling of 212109576480 in words is "two hundred twelve billion, one hundred nine million, five hundred seventy-six thousand, four hundred eighty".