10541260800 has 1008 divisors, whose sum is σ = 46480536960. Its totient is φ = 2229534720.

The previous prime is 10541260699. The next prime is 10541260811. The reversal of 10541260800 is 806214501.

10541260800 is a `hidden beast` number, since 1 + 0 + 54 + 1 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10541260800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 245145579 + ... + 245145621.

Almost surely, 2^10541260800 is an apocalyptic number.

10541260800 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 10541260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23240268480).

10541260800 is an abundant number, since it is smaller than the sum of its proper divisors (35939276160).

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

10541260800 is a wasteful number, since it uses less digits than its factorization.

10541260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

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

The spelling of 10541260800 in words is "ten billion, five hundred forty-one million, two hundred sixty thousand, eight hundred".