10526953736900 has 18 divisors (see below), whose sum is σ = 22843489609290. Its totient is φ = 4210781494720.

The previous prime is 10526953736861. The next prime is 10526953736983. The reversal of 10526953736900 is 963735962501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 393771310144 + 10133182426756 = 627512^2 + 3183266^2 .

It is a super-2 number, since 2×10526953736900² (a number of 27 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 52634768585 + ... + 52634768784.

Almost surely, 2^{10526953736900} is an apocalyptic number.

10526953736900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10526953736900 is an abundant number, since it is smaller than the sum of its proper divisors (12316535872390).

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

10526953736900 is a wasteful number, since it uses less digits than its factorization.

10526953736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105269537383 (or 105269537376 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 56.

The spelling of 10526953736900 in words is "ten trillion, five hundred twenty-six billion, nine hundred fifty-three million, seven hundred thirty-six thousand, nine hundred".