16553456640 has 1056 divisors, whose sum is σ = 71836926720. Its totient is φ = 3439853568.

The previous prime is 16553456629. The next prime is 16553456681. The reversal of 16553456640 is 4665435561.

16553456640 is a `hidden beast` number, since 1 + 6 + 5 + 534 + 56 + 64 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 226759644 + ... + 226759716.

Almost surely, 2^16553456640 is an apocalyptic number.

16553456640 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 16553456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35918463360).

16553456640 is an abundant number, since it is smaller than the sum of its proper divisors (55283470080).

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

16553456640 is a wasteful number, since it uses less digits than its factorization.

16553456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 16553456640 in words is "sixteen billion, five hundred fifty-three million, four hundred fifty-six thousand, six hundred forty".