7875263564100 has 135 divisors (see below), whose sum is σ = 25529312005351. Its totient is φ = 2100002932800.

The previous prime is 7875263564093. The next prime is 7875263564131. The reversal of 7875263564100 is 14653625787.

The square root of 7875263564100 is 2806290.

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

7875263564100 is a `hidden beast` number, since 7 + 8 + 7 + 5 + 2 + 63 + 564 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3855591436356 + 4019672127744 = 1963566^2 + 2004912^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 252550510 + ... + 252581690.

Almost surely, 2^{7875263564100} is an apocalyptic number.

7875263564100 is the 2806290-th square number.

It is an amenable number.

7875263564100 is an abundant number, since it is smaller than the sum of its proper divisors (17654048441251).

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

7875263564100 is an frugal number, since it uses more digits than its factorization.

7875263564100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62388 (or 31191 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 7875263564100 in words is "seven trillion, eight hundred seventy-five billion, two hundred sixty-three million, five hundred sixty-four thousand, one hundred".