25984129812480 has 1584 divisors, whose sum is σ = 108912037476060. Its totient is φ = 5932457459712.

The previous prime is 25984129812449. The next prime is 25984129812491. The reversal of 25984129812480 is 8421892148952.

25984129812480 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 412 + 98 + 124 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25625625854976 + 358503957504 = 5062176^2 + 598752^2 .

It is a super-2 number, since 2×25984129812480² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 29628425802 + ... + 29628426678.

Almost surely, 2^{25984129812480} is an apocalyptic number.

25984129812480 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 25984129812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54456018738030).

25984129812480 is an abundant number, since it is smaller than the sum of its proper divisors (82927907663580).

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

25984129812480 is an frugal number, since it uses more digits than its factorization.

25984129812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 25984129812480 in words is "twenty-five trillion, nine hundred eighty-four billion, one hundred twenty-nine million, eight hundred twelve thousand, four hundred eighty".