213461291220720 has 80 divisors (see below), whose sum is σ = 661731638896032. Its totient is φ = 56922870251520.

The previous prime is 213461291220649. The next prime is 213461291220721. The reversal of 213461291220720 is 27022192164312.

213461291220720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213461291220721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127385424 + ... + 129050256.

Almost surely, 2^{213461291220720} is an apocalyptic number.

213461291220720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213461291220720 is an abundant number, since it is smaller than the sum of its proper divisors (448270347675312).

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

213461291220720 is a wasteful number, since it uses less digits than its factorization.

213461291220720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199090 (or 2199084 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 213461291220720 in words is "two hundred thirteen trillion, four hundred sixty-one billion, two hundred ninety-one million, two hundred twenty thousand, seven hundred twenty".