25052146560 has 1280 divisors, whose sum is σ = 112606433280. Its totient is φ = 5175705600.

The previous prime is 25052146531. The next prime is 25052146573. The reversal of 25052146560 is 6564125052.

25052146560 is a `hidden beast` number, since 2 + 5 + 0 + 52 + 1 + 46 + 560 = 666.

It is a super-2 number, since 2×25052146560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 191237695 + ... + 191237825.

It is an arithmetic number, because the mean of its divisors is an integer number (87973776).

Almost surely, 2^25052146560 is an apocalyptic number.

25052146560 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 25052146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56303216640).

25052146560 is an abundant number, since it is smaller than the sum of its proper divisors (87554286720).

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

25052146560 is a wasteful number, since it uses less digits than its factorization.

25052146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 25052146560 in words is "twenty-five billion, fifty-two million, one hundred forty-six thousand, five hundred sixty".