213069213504 has 672 divisors, whose sum is σ = 781144853760. Its totient is φ = 56637149184.

The previous prime is 213069213491. The next prime is 213069213521. The reversal of 213069213504 is 405312960312.

213069213504 is a `hidden beast` number, since 2 + 130 + 6 + 9 + 2 + 13 + 504 = 666.

213069213504 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 (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72054394 + ... + 72057350.

Almost surely, 2^213069213504 is an apocalyptic number.

213069213504 is a gapful number since it is divisible by the number (24) 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 213069213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390572426880).

213069213504 is an abundant number, since it is smaller than the sum of its proper divisors (568075640256).

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

213069213504 is a wasteful number, since it uses less digits than its factorization.

213069213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 213069213504 in words is "two hundred thirteen billion, sixty-nine million, two hundred thirteen thousand, five hundred four".