10541153280 has 704 divisors, whose sum is σ = 41880637440. Its totient is φ = 2208301056.

The previous prime is 10541153269. The next prime is 10541153291. The reversal of 10541153280 is 8235114501.

It is an interprime number because it is at equal distance from previous prime (10541153269) and next prime (10541153291).

It is a super-2 number, since 2×10541153280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133432281 + ... + 133432359.

Almost surely, 2^10541153280 is an apocalyptic number.

10541153280 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 10541153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20940318720).

10541153280 is an abundant number, since it is smaller than the sum of its proper divisors (31339484160).

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

10541153280 is a wasteful number, since it uses less digits than its factorization.

10541153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 10541153280 its reverse (8235114501), we get a palindrome (18776267781).

The spelling of 10541153280 in words is "ten billion, five hundred forty-one million, one hundred fifty-three thousand, two hundred eighty".