10541981520 has 1120 divisors, whose sum is σ = 46839859200. Its totient is φ = 2194698240.

The previous prime is 10541981519. The next prime is 10541981533. The reversal of 10541981520 is 2518914501.

10541981520 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 98 + 1 + 520 = 666.

It is a super-2 number, since 2×10541981520² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 340063905 + ... + 340063935.

Almost surely, 2^10541981520 is an apocalyptic number.

10541981520 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 10541981520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419929600).

10541981520 is an abundant number, since it is smaller than the sum of its proper divisors (36297877680).

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

10541981520 is an equidigital number, since it uses as much as digits as its factorization.

10541981520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 10541981520 in words is "ten billion, five hundred forty-one million, nine hundred eighty-one thousand, five hundred twenty".