16635776006400 has 432 divisors, whose sum is σ = 58336762083264. Its totient is φ = 4160476938240.

The previous prime is 16635776006371. The next prime is 16635776006407. The reversal of 16635776006400 is 460067753661.

It is a happy number.

It is a super-2 number, since 2×16635776006400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (16635776006407) 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 47 ways as a sum of consecutive naturals, for example, 92281152 + ... + 92461248.

Almost surely, 2^{16635776006400} is an apocalyptic number.

16635776006400 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 16635776006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29168381041632).

16635776006400 is an abundant number, since it is smaller than the sum of its proper divisors (41700986076864).

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

16635776006400 is a wasteful number, since it uses less digits than its factorization.

16635776006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180426 (or 180407 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 16635776006400 in words is "sixteen trillion, six hundred thirty-five billion, seven hundred seventy-six million, six thousand, four hundred".