1027526868900 has 405 divisors, whose sum is σ = 3877055764659. Its totient is φ = 234717315840.

The previous prime is 1027526868883. The next prime is 1027526868919. The reversal of 1027526868900 is 98686257201.

The square root of 1027526868900 is 1013670.

It is a perfect power (a square), and thus also a powerful number.

1027526868900 is a `hidden beast` number, since 1 + 0 + 27 + 526 + 8 + 6 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230820671844 + 796706197056 = 480438^2 + 892584^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×1027526868900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 638611296 + ... + 638612904.

Almost surely, 2^{1027526868900} is an apocalyptic number.

1027526868900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1027526868900 is the 1013670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027526868900

1027526868900 is an abundant number, since it is smaller than the sum of its proper divisors (2849528895759).

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

1027526868900 is an equidigital number, since it uses as much as digits as its factorization.

1027526868900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1027526868900 in words is "one trillion, twenty-seven billion, five hundred twenty-six million, eight hundred sixty-eight thousand, nine hundred".