213056747904 has 576 divisors, whose sum is σ = 777798780480. Its totient is φ = 51074150400.

The previous prime is 213056747879. The next prime is 213056747947. The reversal of 213056747904 is 409747650312.

213056747904 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 71 ways as a sum of consecutive naturals, for example, 34975899 + ... + 34981989.

It is an arithmetic number, because the mean of its divisors is an integer number (1350345105).

Almost surely, 2^213056747904 is an apocalyptic number.

213056747904 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 213056747904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388899390240).

213056747904 is an abundant number, since it is smaller than the sum of its proper divisors (564742032576).

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

213056747904 is a wasteful number, since it uses less digits than its factorization.

213056747904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6159 (or 6127 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 213056747904 in words is "two hundred thirteen billion, fifty-six million, seven hundred forty-seven thousand, nine hundred four".