16155765964800 has 4896 divisors, whose sum is σ = 81783069548544. Its totient is φ = 3057647616000.

The previous prime is 16155765964771. The next prime is 16155765964861. The reversal of 16155765964800 is 846956755161.

16155765964800 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 5 + 7 + 65 + 96 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4896).

It is a super-2 number, since 2×16155765964800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 521153740785 + ... + 521153740815.

Almost surely, 2^{16155765964800} is an apocalyptic number.

16155765964800 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 16155765964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40891534774272).

16155765964800 is an abundant number, since it is smaller than the sum of its proper divisors (65627303583744).

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

16155765964800 is an equidigital number, since it uses as much as digits as its factorization.

16155765964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 16155765964800 in words is "sixteen trillion, one hundred fifty-five billion, seven hundred sixty-five million, nine hundred sixty-four thousand, eight hundred".