213859272816 has 480 divisors, whose sum is σ = 720188571648. Its totient is φ = 60177841920.

The previous prime is 213859272799. The next prime is 213859272821. The reversal of 213859272816 is 618272958312.

213859272816 is a `hidden beast` number, since 2 + 1 + 38 + 592 + 7 + 2 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 959010081 + ... + 959010303.

Almost surely, 2^213859272816 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 213859272816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360094285824).

213859272816 is an abundant number, since it is smaller than the sum of its proper divisors (506329298832).

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

213859272816 is a wasteful number, since it uses less digits than its factorization.

213859272816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 613 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 213859272816 in words is "two hundred thirteen billion, eight hundred fifty-nine million, two hundred seventy-two thousand, eight hundred sixteen".