16428638453760 has 1800 divisors, whose sum is σ = 67481332324560. Its totient is φ = 3800316248064.

The previous prime is 16428638453741. The next prime is 16428638453783. The reversal of 16428638453760 is 6735483682461.

It is a happy number.

16428638453760 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 8 + 6 + 38 + 4 + 537 + 60 = 666.

It is a super-2 number, since 2×16428638453760² (a number of 27 digits) contains 22 as substring.

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, 24929648311 + ... + 24929648969.

Almost surely, 2^{16428638453760} is an apocalyptic number.

16428638453760 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 16428638453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33740666162280).

16428638453760 is an abundant number, since it is smaller than the sum of its proper divisors (51052693870800).

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

16428638453760 is an equidigital number, since it uses as much as digits as its factorization.

16428638453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 16428638453760 in words is "sixteen trillion, four hundred twenty-eight billion, six hundred thirty-eight million, four hundred fifty-three thousand, seven hundred sixty".