10541502052000 has 192 divisors, whose sum is σ = 27675643675680. Its totient is φ = 3932153856000.

The previous prime is 10541502051937. The next prime is 10541502052007. The reversal of 10541502052000 is 25020514501.

It can be written as a sum of positive squares in 16 ways, for example, as 1067196434704 + 9474305617296 = 1033052^2 + 3078036^2 .

It is a super-2 number, since 2×10541502052000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10541502052007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6700890 + ... + 8123110.

Almost surely, 2^{10541502052000} is an apocalyptic number.

10541502052000 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 10541502052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837821837840).

10541502052000 is an abundant number, since it is smaller than the sum of its proper divisors (17134141623680).

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

10541502052000 is a wasteful number, since it uses less digits than its factorization.

10541502052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422372 (or 1422354 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 10541502052000 its reverse (25020514501), we get a palindrome (10566522566501).

The spelling of 10541502052000 in words is "ten trillion, five hundred forty-one billion, five hundred two million, fifty-two thousand".