10026533461600 has 72 divisors (see below), whose sum is σ = 24488605863288. Its totient is φ = 4008756787200.

The previous prime is 10026533461589. The next prime is 10026533461619. The reversal of 10026533461600 is 616433562001.

It is a self number, because there is not a number n which added to its sum of digits gives 10026533461600.

It is a congruent number.

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, 1171054 + ... + 4628653.

It is an arithmetic number, because the mean of its divisors is an integer number (340119525879).

Almost surely, 2^{10026533461600} is an apocalyptic number.

10026533461600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10026533461600 is an abundant number, since it is smaller than the sum of its proper divisors (14462072401688).

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

10026533461600 is a wasteful number, since it uses less digits than its factorization.

10026533461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801888 (or 5801875 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 10026533461600 in words is "ten trillion, twenty-six billion, five hundred thirty-three million, four hundred sixty-one thousand, six hundred".