10541235552520 has 128 divisors (see below), whose sum is σ = 26699243120640. Its totient is φ = 3724301701120.

The previous prime is 10541235552499. The next prime is 10541235552521. The reversal of 10541235552520 is 2525553214501.

It is a super-2 number, since 2×10541235552520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (10541235552521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5529496 + ... + 7187335.

It is an arithmetic number, because the mean of its divisors is an integer number (208587836880).

Almost surely, 2^{10541235552520} is an apocalyptic number.

10541235552520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10541235552520 is an abundant number, since it is smaller than the sum of its proper divisors (16158007568120).

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

10541235552520 is a wasteful number, since it uses less digits than its factorization.

10541235552520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716935 (or 12716931 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 40.

The spelling of 10541235552520 in words is "ten trillion, five hundred forty-one billion, two hundred thirty-five million, five hundred fifty-two thousand, five hundred twenty".