213056481960 has 768 divisors, whose sum is σ = 845082201600. Its totient is φ = 45519667200.

The previous prime is 213056481889. The next prime is 213056481973. The reversal of 213056481960 is 69184650312.

213056481960 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 564 + 81 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 632214912 + ... + 632215248.

It is an arithmetic number, because the mean of its divisors is an integer number (1100367450).

Almost surely, 2^213056481960 is an apocalyptic number.

213056481960 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 213056481960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422541100800).

213056481960 is an abundant number, since it is smaller than the sum of its proper divisors (632025719640).

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

213056481960 is a wasteful number, since it uses less digits than its factorization.

213056481960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 213056481960 in words is "two hundred thirteen billion, fifty-six million, four hundred eighty-one thousand, nine hundred sixty".