25488546662400 has 288 divisors, whose sum is σ = 84294274821120. Its totient is φ = 6794306191360.

The previous prime is 25488546662389. The next prime is 25488546662401. The reversal of 25488546662400 is 426664588452.

It is a super-2 number, since 2×25488546662400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (25488546662401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412692322 + ... + 412754078.

It is an arithmetic number, because the mean of its divisors is an integer number (292688454240).

Almost surely, 2^{25488546662400} is an apocalyptic number.

25488546662400 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 25488546662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42147137410560).

25488546662400 is an abundant number, since it is smaller than the sum of its proper divisors (58805728158720).

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

25488546662400 is a wasteful number, since it uses less digits than its factorization.

25488546662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64479 (or 64454 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 60.

The spelling of 25488546662400 in words is "twenty-five trillion, four hundred eighty-eight billion, five hundred forty-six million, six hundred sixty-two thousand, four hundred".