212541468480 has 448 divisors, whose sum is σ = 820238745600. Its totient is φ = 51381872640.

The previous prime is 212541468473. The next prime is 212541468523. The reversal of 212541468480 is 84864145212.

212541468480 is a `hidden beast` number, since 2 + 1 + 2 + 541 + 4 + 68 + 48 + 0 = 666.

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

It is a congruent number.

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, 36397401 + ... + 36403239.

Almost surely, 2^212541468480 is an apocalyptic number.

212541468480 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 212541468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410119372800).

212541468480 is an abundant number, since it is smaller than the sum of its proper divisors (607697277120).

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

212541468480 is a wasteful number, since it uses less digits than its factorization.

212541468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 212541468480 in words is "two hundred twelve billion, five hundred forty-one million, four hundred sixty-eight thousand, four hundred eighty".