16258395288960 has 2048 divisors, whose sum is σ = 66980100096000. Its totient is φ = 3690233856000.

The previous prime is 16258395288923. The next prime is 16258395289061. The reversal of 16258395288960 is 6988259385261.

16258395288960 is a `hidden beast` number, since 1 + 6 + 2 + 5 + 8 + 3 + 9 + 528 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 41795360446 + ... + 41795360834.

It is an arithmetic number, because the mean of its divisors is an integer number (32705127000).

Almost surely, 2^{16258395288960} is an apocalyptic number.

16258395288960 is a gapful number since it is divisible by the number (10) 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 16258395288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33490050048000).

16258395288960 is an abundant number, since it is smaller than the sum of its proper divisors (50721704807040).

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

16258395288960 is a wasteful number, since it uses less digits than its factorization.

16258395288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 16258395288960 in words is "sixteen trillion, two hundred fifty-eight billion, three hundred ninety-five million, two hundred eighty-eight thousand, nine hundred sixty".