212540766480 has 560 divisors, whose sum is σ = 869686074624. Its totient is φ = 47264394240.

The previous prime is 212540766457. The next prime is 212540766481. The reversal of 212540766480 is 84667045212.

212540766480 is a `hidden beast` number, since 2 + 1 + 2 + 540 + 7 + 66 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 (212540766481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15097845 + ... + 15111915.

Almost surely, 2^212540766480 is an apocalyptic number.

212540766480 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 212540766480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434843037312).

212540766480 is an abundant number, since it is smaller than the sum of its proper divisors (657145308144).

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

212540766480 is a wasteful number, since it uses less digits than its factorization.

212540766480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14146 (or 14125 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 212540766480 in words is "two hundred twelve billion, five hundred forty million, seven hundred sixty-six thousand, four hundred eighty".