16451875533800 has 384 divisors, whose sum is σ = 45030992117760. Its totient is φ = 5472723916800.

The previous prime is 16451875533799. The next prime is 16451875533803. The reversal of 16451875533800 is 833557815461.

16451875533800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (16451875533803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6248337284 + ... + 6248339916.

It is an arithmetic number, because the mean of its divisors is an integer number (117268208640).

Almost surely, 2^{16451875533800} is an apocalyptic number.

16451875533800 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 16451875533800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22515496058880).

16451875533800 is an abundant number, since it is smaller than the sum of its proper divisors (28579116583960).

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

16451875533800 is a wasteful number, since it uses less digits than its factorization.

16451875533800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 16451875533800 in words is "sixteen trillion, four hundred fifty-one billion, eight hundred seventy-five million, five hundred thirty-three thousand, eight hundred".