16865245742400 has 840 divisors, whose sum is σ = 68737085202720. Its totient is φ = 4021498368000.

The previous prime is 16865245742329. The next prime is 16865245742417. The reversal of 16865245742400 is 424754256861.

16865245742400 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 5 + 24 + 574 + 2 + 40 + 0 = 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 119 ways as a sum of consecutive naturals, for example, 86864631 + ... + 87058569.

Almost surely, 2^{16865245742400} is an apocalyptic number.

16865245742400 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 16865245742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34368542601360).

16865245742400 is an abundant number, since it is smaller than the sum of its proper divisors (51871839460320).

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

16865245742400 is a wasteful number, since it uses less digits than its factorization.

16865245742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194045 (or 194021 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 16865245742400 in words is "sixteen trillion, eight hundred sixty-five billion, two hundred forty-five million, seven hundred forty-two thousand, four hundred".