219052657152 has 480 divisors, whose sum is σ = 757291446912. Its totient is φ = 61917364224.

The previous prime is 219052657147. The next prime is 219052657169. The reversal of 219052657152 is 251756250912.

219052657152 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 5 + 26 + 571 + 52 = 666.

It is a super-2 number, since 2×219052657152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 219052657098 and 219052657107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84477168 + ... + 84479760.

Almost surely, 2^219052657152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219052657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378645723456).

219052657152 is an abundant number, since it is smaller than the sum of its proper divisors (538238789760).

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

219052657152 is an frugal number, since it uses more digits than its factorization.

219052657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 219052657152 in words is "two hundred nineteen billion, fifty-two million, six hundred fifty-seven thousand, one hundred fifty-two".