25853164610400 has 144 divisors (see below), whose sum is σ = 93502278752400. Its totient is φ = 6894177223680.

The previous prime is 25853164610393. The next prime is 25853164610423. The reversal of 25853164610400 is 401646135852.

25853164610400 is a `hidden beast` number, since 2 + 5 + 8 + 531 + 6 + 4 + 6 + 104 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×25853164610400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598431285 + ... + 598474484.

It is an arithmetic number, because the mean of its divisors is an integer number (649321380225).

Almost surely, 2^{25853164610400} is an apocalyptic number.

25853164610400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25853164610400 is an abundant number, since it is smaller than the sum of its proper divisors (67649114142000).

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

25853164610400 is a wasteful number, since it uses less digits than its factorization.

25853164610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196905798 (or 1196905779 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25853164610400 in words is "twenty-five trillion, eight hundred fifty-three billion, one hundred sixty-four million, six hundred ten thousand, four hundred".