10054405324800 has 1728 divisors, whose sum is σ = 39662193957120. Its totient is φ = 2522559283200.

The previous prime is 10054405324751. The next prime is 10054405324801. The reversal of 10054405324800 is 842350445001.

It is a happy number.

10054405324800 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 4 + 40 + 532 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10054405324801) 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, 164826316770 + ... + 164826316830.

It is an arithmetic number, because the mean of its divisors is an integer number (22952658540).

Almost surely, 2^{10054405324800} is an apocalyptic number.

10054405324800 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 10054405324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19831096978560).

10054405324800 is an abundant number, since it is smaller than the sum of its proper divisors (29607788632320).

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

10054405324800 is an frugal number, since it uses more digits than its factorization.

10054405324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 10054405324800 its reverse (842350445001), we get a palindrome (10896755769801).

The spelling of 10054405324800 in words is "ten trillion, fifty-four billion, four hundred five million, three hundred twenty-four thousand, eight hundred".