25470506985600 has 1728 divisors, whose sum is σ = 96263016585120. Its totient is φ = 5898136780800.

The previous prime is 25470506985589. The next prime is 25470506985607. The reversal of 25470506985600 is 658960507452.

It is a super-2 number, since 2×25470506985600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25470506985607) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 82965820647 + ... + 82965820953.

Almost surely, 2^{25470506985600} is an apocalyptic number.

25470506985600 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 25470506985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48131508292560).

25470506985600 is an abundant number, since it is smaller than the sum of its proper divisors (70792509599520).

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

25470506985600 is a wasteful number, since it uses less digits than its factorization.

25470506985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 25470506985600 in words is "twenty-five trillion, four hundred seventy billion, five hundred six million, nine hundred eighty-five thousand, six hundred".