10261261600 has 72 divisors (see below), whose sum is σ = 26368781040. Its totient is φ = 3888472320.

The previous prime is 10261261589. The next prime is 10261261627. The reversal of 10261261600 is 616216201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322342 + ... + 352741.

It is an arithmetic number, because the mean of its divisors is an integer number (366233070).

Almost surely, 2^10261261600 is an apocalyptic number.

10261261600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10261261600 is an abundant number, since it is smaller than the sum of its proper divisors (16107519440).

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

10261261600 is a wasteful number, since it uses less digits than its factorization.

10261261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675122 (or 675109 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 10261261600 its reverse (616216201), we get a palindrome (10877477801).

The spelling of 10261261600 in words is "ten billion, two hundred sixty-one million, two hundred sixty-one thousand, six hundred".