213994908767520 has 576 divisors, whose sum is σ = 776080307673216. Its totient is φ = 55651565445120.

The previous prime is 213994908767509. The next prime is 213994908767543. The reversal of 213994908767520 is 25767809499312.

213994908767520 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 9 + 4 + 90 + 8 + 7 + 6 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4267327087 + ... + 4267377233.

It is an arithmetic number, because the mean of its divisors is an integer number (1347361645266).

It is a 1-persistent number, because it is pandigital, but 2⋅213994908767520 = 427989817535040 is not.

Almost surely, 2^{213994908767520} is an apocalyptic number.

213994908767520 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 213994908767520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388040153836608).

213994908767520 is an abundant number, since it is smaller than the sum of its proper divisors (562085398905696).

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

213994908767520 is a wasteful number, since it uses less digits than its factorization.

213994908767520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52895 (or 52875 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 213994908767520 in words is "two hundred thirteen trillion, nine hundred ninety-four billion, nine hundred eight million, seven hundred sixty-seven thousand, five hundred twenty".