10270541261000 has 128 divisors (see below), whose sum is σ = 24161612117760. Its totient is φ = 4086266688000.

The previous prime is 10270541260999. The next prime is 10270541261039. The reversal of 10270541261000 is 16214507201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369869117 + ... + 369896883.

It is an arithmetic number, because the mean of its divisors is an integer number (188762594670).

Almost surely, 2^{10270541261000} is an apocalyptic number.

10270541261000 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 10270541261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12080806058880).

10270541261000 is an abundant number, since it is smaller than the sum of its proper divisors (13891070856760).

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

10270541261000 is a wasteful number, since it uses less digits than its factorization.

10270541261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29752 (or 29738 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 10270541261000 its reverse (16214507201), we get a palindrome (10286755768201).

The spelling of 10270541261000 in words is "ten trillion, two hundred seventy billion, five hundred forty-one million, two hundred sixty-one thousand".