16007523840 has 720 divisors, whose sum is σ = 70407033840. Its totient is φ = 3323658240.

The previous prime is 16007523781. The next prime is 16007523841. The reversal of 16007523840 is 4832570061.

16007523840 is a `hidden beast` number, since 1 + 600 + 7 + 5 + 2 + 3 + 8 + 40 = 666.

16007523840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16007523795 and 16007523804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16007523841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12417916 + ... + 12419204.

It is an arithmetic number, because the mean of its divisors is an integer number (97787547).

Almost surely, 2^16007523840 is an apocalyptic number.

16007523840 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 16007523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35203516920).

16007523840 is an abundant number, since it is smaller than the sum of its proper divisors (54399510000).

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

16007523840 is a wasteful number, since it uses less digits than its factorization.

16007523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16007523840 in words is "sixteen billion, seven million, five hundred twenty-three thousand, eight hundred forty".