10416788525025 has 81 divisors (see below), whose sum is σ = 18849549564729. Its totient is φ = 5499048839040.

The previous prime is 10416788524777. The next prime is 10416788525057. The reversal of 10416788525025 is 52052588761401.

The square root of 10416788525025 is 3227505.

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

10416788525025 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 7 + 88 + 52 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 861048517329 + 9555740007696 = 927927^2 + 3091236^2 .

It is not a de Polignac number, because 10416788525025 - 2¹¹ = 10416788522977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4986494181 + ... + 4986496269.

Almost surely, 2^{10416788525025} is an apocalyptic number.

10416788525025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10416788525025 is the 3227505-th square number.

10416788525025 is the 1613753-rd centered octagonal number.

It is an amenable number.

10416788525025 is a deficient number, since it is larger than the sum of its proper divisors (8432761039704).

10416788525025 is an frugal number, since it uses more digits than its factorization.

10416788525025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 10416788525025 in words is "ten trillion, four hundred sixteen billion, seven hundred eighty-eight million, five hundred twenty-five thousand, twenty-five".