25473692160 has 1280 divisors, whose sum is σ = 115964006400. Its totient is φ = 5159780352.

The previous prime is 25473692147. The next prime is 25473692161. The reversal of 25473692160 is 6129637452.

25473692160 is a `hidden beast` number, since 2 + 547 + 3 + 6 + 92 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (25473692161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 156280239 + ... + 156280401.

It is an arithmetic number, because the mean of its divisors is an integer number (90596880).

Almost surely, 2^25473692160 is an apocalyptic number.

25473692160 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 25473692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57982003200).

25473692160 is an abundant number, since it is smaller than the sum of its proper divisors (90490314240).

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

25473692160 is a wasteful number, since it uses less digits than its factorization.

25473692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 25473692160 in words is "twenty-five billion, four hundred seventy-three million, six hundred ninety-two thousand, one hundred sixty".