289534570416 has 1280 divisors, whose sum is σ = 1109928960000. Its totient is φ = 71693475840.

The previous prime is 289534570399. The next prime is 289534570427. The reversal of 289534570416 is 614075435982.

It is a happy number.

289534570416 is a `hidden beast` number, since 2 + 8 + 9 + 53 + 4 + 570 + 4 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3966226956 + ... + 3966227028.

It is an arithmetic number, because the mean of its divisors is an integer number (867132000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅289534570416 = 579069140832, but 3⋅289534570416 = 868603711248 is not.

Almost surely, 2^289534570416 is an apocalyptic number.

289534570416 is a gapful number since it is divisible by the number (26) 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 289534570416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554964480000).

289534570416 is an abundant number, since it is smaller than the sum of its proper divisors (820394389584).

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

289534570416 is a wasteful number, since it uses less digits than its factorization.

289534570416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 289534570416 in words is "two hundred eighty-nine billion, five hundred thirty-four million, five hundred seventy thousand, four hundred sixteen".