16523788409856 has 880 divisors, whose sum is σ = 62690094888960. Its totient is φ = 4217284362240.

The previous prime is 16523788409827. The next prime is 16523788409861. The reversal of 16523788409856 is 65890488732561.

16523788409856 is a `hidden beast` number, since 1 + 6 + 523 + 7 + 8 + 8 + 4 + 0 + 98 + 5 + 6 = 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 79 ways as a sum of consecutive naturals, for example, 233949715 + ... + 234020333.

It is an arithmetic number, because the mean of its divisors is an integer number (71238744192).

It is a 2-persistent number, because it is pandigital, and so is 2⋅16523788409856 = 33047576819712, but 3⋅16523788409856 = 49571365229568 is not.

Almost surely, 2^{16523788409856} is an apocalyptic number.

16523788409856 is a gapful number since it is divisible by the number (16) 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 16523788409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31345047444480).

16523788409856 is an abundant number, since it is smaller than the sum of its proper divisors (46166306479104).

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

16523788409856 is a wasteful number, since it uses less digits than its factorization.

16523788409856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70702 (or 70675 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 16523788409856 in words is "sixteen trillion, five hundred twenty-three billion, seven hundred eighty-eight million, four hundred nine thousand, eight hundred fifty-six".