16158320640 has 1440 divisors, whose sum is σ = 75917761920. Its totient is φ = 3211591680.

The previous prime is 16158320639. The next prime is 16158320669. The reversal of 16158320640 is 4602385161.

It is a happy number.

16158320640 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 8 + 3 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×16158320640² (a number of 21 digits) contains 22 as substring.

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 = 16158320595 and 16158320604.

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, 702535669 + ... + 702535691.

It is an arithmetic number, because the mean of its divisors is an integer number (52720668).

Almost surely, 2^16158320640 is an apocalyptic number.

16158320640 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 16158320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37958880960).

16158320640 is an abundant number, since it is smaller than the sum of its proper divisors (59759441280).

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

16158320640 is a wasteful number, since it uses less digits than its factorization.

16158320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 16158320640 in words is "sixteen billion, one hundred fifty-eight million, three hundred twenty thousand, six hundred forty".