25258066916355 has 192 divisors, whose sum is σ = 56320412803200. Its totient is φ = 10645462195200.

The previous prime is 25258066916351. The next prime is 25258066916461. The reversal of 25258066916355 is 55361966085252.

25258066916355 is a `hidden beast` number, since 2 + 5 + 2 + 580 + 6 + 6 + 9 + 16 + 35 + 5 = 666.

It is not a de Polignac number, because 25258066916355 - 2² = 25258066916351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 25258066916292 and 25258066916301.

It is not an unprimeable number, because it can be changed into a prime (25258066916351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71112705 + ... + 71467005.

It is an arithmetic number, because the mean of its divisors is an integer number (293335483350).

Almost surely, 2^{25258066916355} is an apocalyptic number.

25258066916355 is an abundant number, since it is smaller than the sum of its proper divisors (31062345886845).

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

25258066916355 is a wasteful number, since it uses less digits than its factorization.

25258066916355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355171 (or 355158 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 25258066916355 in words is "twenty-five trillion, two hundred fifty-eight billion, sixty-six million, nine hundred sixteen thousand, three hundred fifty-five".