25209257166720 has 1536 divisors, whose sum is σ = 101494691020800. Its totient is φ = 5979418030080.

The previous prime is 25209257166713. The next prime is 25209257166727. The reversal of 25209257166720 is 2766175290252.

25209257166720 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 9 + 2 + 571 + 6 + 67 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25209257166713) and next prime (25209257166727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25209257166727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7959978577 + ... + 7959981743.

It is an arithmetic number, because the mean of its divisors is an integer number (66077272800).

Almost surely, 2^{25209257166720} is an apocalyptic number.

25209257166720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25209257166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50747345510400).

25209257166720 is an abundant number, since it is smaller than the sum of its proper divisors (76285433854080).

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

25209257166720 is an equidigital number, since it uses as much as digits as its factorization.

25209257166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 25209257166720 in words is "twenty-five trillion, two hundred nine billion, two hundred fifty-seven million, one hundred sixty-six thousand, seven hundred twenty".