221990034792960 has 640 divisors, whose sum is σ = 925529955863040. Its totient is φ = 49369208389632.

The previous prime is 221990034792947. The next prime is 221990034793019. The reversal of 221990034792960 is 69297430099122.

221990034792960 is a `hidden beast` number, since 2 + 2 + 19 + 90 + 0 + 3 + 479 + 2 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 11701962 + ... + 24102198.

It is an arithmetic number, because the mean of its divisors is an integer number (1446140556036).

Almost surely, 2^{221990034792960} is an apocalyptic number.

221990034792960 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 221990034792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462764977931520).

221990034792960 is an abundant number, since it is smaller than the sum of its proper divisors (703539921070080).

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

221990034792960 is a wasteful number, since it uses less digits than its factorization.

221990034792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400313 (or 12400291 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 221990034792960 in words is "two hundred twenty-one trillion, nine hundred ninety billion, thirty-four million, seven hundred ninety-two thousand, nine hundred sixty".