10541562600 has 96 divisors (see below), whose sum is σ = 32712459840. Its totient is φ = 2808192000.

The previous prime is 10541562599. The next prime is 10541562601. The reversal of 10541562600 is 626514501.

It is an interprime number because it is at equal distance from previous prime (10541562599) and next prime (10541562601).

It is a super-2 number, since 2×10541562600² (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 not an unprimeable number, because it can be changed into a prime (10541562601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610080 + ... + 627120.

It is an arithmetic number, because the mean of its divisors is an integer number (340754790).

Almost surely, 2^10541562600 is an apocalyptic number.

10541562600 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 10541562600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356229920).

10541562600 is an abundant number, since it is smaller than the sum of its proper divisors (22170897240).

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

10541562600 is a wasteful number, since it uses less digits than its factorization.

10541562600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18091 (or 18082 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10541562600 in words is "ten billion, five hundred forty-one million, five hundred sixty-two thousand, six hundred".