16801052400 has 1200 divisors, whose sum is σ = 72336084480. Its totient is φ = 3688243200.

The previous prime is 16801052399. The next prime is 16801052431. The reversal of 16801052400 is 425010861.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 284763571 + ... + 284763629.

Almost surely, 2^16801052400 is an apocalyptic number.

16801052400 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 16801052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36168042240).

16801052400 is an abundant number, since it is smaller than the sum of its proper divisors (55535032080).

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

16801052400 is a wasteful number, since it uses less digits than its factorization.

16801052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 16801052400 in words is "sixteen billion, eight hundred one million, fifty-two thousand, four hundred".