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10541350400 = 295277

10541350400 has 240 divisors, whose sum is σ = 30469850400. Its totient is φ = 3614177280.

The previous prime is 10541350349. The next prime is 10541350411. The reversal of 10541350400 is 405314501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×105413504002 (a number of 21 digits) contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1505907197 + ... + 1505907203.

It is an arithmetic number, because the mean of its divisors is an integer number (126957710).

Almost surely, 210541350400 is an apocalyptic number.

10541350400 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 10541350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15234925200).

10541350400 is an abundant number, since it is smaller than the sum of its proper divisors (19928500000).

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

10541350400 is an frugal number, since it uses more digits than its factorization.

10541350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 10541350400 its reverse (405314501), we get a palindrome (10946664901).

The spelling of 10541350400 in words is "ten billion, five hundred forty-one million, three hundred fifty thousand, four hundred".