109825788848400 has 405 divisors, whose sum is σ = 395825766707631. Its totient is φ = 29282349761280.

The previous prime is 109825788848383. The next prime is 109825788848437. The reversal of 109825788848400 is 4848887528901.

The square root of 109825788848400 is 10479780.

It is a perfect power (a square), and thus also a powerful number.

109825788848400 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 2 + 578 + 8 + 8 + 4 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45386252772624 + 64439536075776 = 6736932^2 + 8027424^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16977240366 + ... + 16977246834.

Almost surely, 2^{109825788848400} is an apocalyptic number.

109825788848400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109825788848400 is the 10479780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109825788848400

109825788848400 is an abundant number, since it is smaller than the sum of its proper divisors (285999977859231).

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

109825788848400 is an frugal number, since it uses more digits than its factorization.

109825788848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 72.

The spelling of 109825788848400 in words is "one hundred nine trillion, eight hundred twenty-five billion, seven hundred eighty-eight million, eight hundred forty-eight thousand, four hundred".