1206009368928 has 1536 divisors, whose sum is σ = 4871010816000. Its totient is φ = 282593525760.

The previous prime is 1206009368923. The next prime is 1206009368939. The reversal of 1206009368928 is 8298639006021.

1206009368928 is a `hidden beast` number, since 1 + 2 + 0 + 600 + 9 + 3 + 6 + 8 + 9 + 28 = 666.

It is a super-2 number, since 2×1206009368928² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1206009368923) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4291848148 + ... + 4291848428.

It is an arithmetic number, because the mean of its divisors is an integer number (3171231000).

Almost surely, 2^{1206009368928} is an apocalyptic number.

1206009368928 is a gapful number since it is divisible by the number (18) 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 1206009368928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435505408000).

1206009368928 is an abundant number, since it is smaller than the sum of its proper divisors (3665001447072).

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

1206009368928 is a wasteful number, since it uses less digits than its factorization.

1206009368928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1206009368928 in words is "one trillion, two hundred six billion, nine million, three hundred sixty-eight thousand, nine hundred twenty-eight".