25584479863488 has 756 divisors, whose sum is σ = 94928471295840. Its totient is φ = 6529802065920.

The previous prime is 25584479863487. The next prime is 25584479863499. The reversal of 25584479863488 is 88436897448552.

25584479863488 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 4 + 4 + 79 + 8 + 63 + 488 = 666.

It is a super-2 number, since 2×25584479863488² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25584479863487) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 352566153 + ... + 352638711.

Almost surely, 2^{25584479863488} is an apocalyptic number.

25584479863488 is a gapful number since it is divisible by the number (28) 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 25584479863488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47464235647920).

25584479863488 is an abundant number, since it is smaller than the sum of its proper divisors (69343991432352).

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

25584479863488 is a wasteful number, since it uses less digits than its factorization.

25584479863488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72666 (or 72615 counting only the distinct ones).

The product of its digits is 14863564800, while the sum is 81.

The spelling of 25584479863488 in words is "twenty-five trillion, five hundred eighty-four billion, four hundred seventy-nine million, eight hundred sixty-three thousand, four hundred eighty-eight".