16007006453760 has 1088 divisors, whose sum is σ = 65573583989760. Its totient is φ = 3628974735360.

The previous prime is 16007006453747. The next prime is 16007006453771. The reversal of 16007006453760 is 6735460070061.

16007006453760 is a `hidden beast` number, since 1 + 60 + 0 + 70 + 0 + 6 + 453 + 76 + 0 = 666.

It is a super-2 number, since 2×16007006453760² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8113028134 + ... + 8113030106.

Almost surely, 2^{16007006453760} is an apocalyptic number.

16007006453760 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 16007006453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32786791994880).

16007006453760 is an abundant number, since it is smaller than the sum of its proper divisors (49566577536000).

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

16007006453760 is an equidigital number, since it uses as much as digits as its factorization.

16007006453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 16007006453760 in words is "sixteen trillion, seven billion, six million, four hundred fifty-three thousand, seven hundred sixty".