25828084972272 has 160 divisors (see below), whose sum is σ = 77151309214464. Its totient is φ = 7358517760000.

The previous prime is 25828084972267. The next prime is 25828084972303. The reversal of 25828084972272 is 27227948082852.

It is a super-3 number, since 3×25828084972272³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6981022 + ... + 10019522.

Almost surely, 2^{25828084972272} is an apocalyptic number.

25828084972272 is a gapful number since it is divisible by the number (22) 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 25828084972272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38575654607232).

25828084972272 is an abundant number, since it is smaller than the sum of its proper divisors (51323224242192).

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

25828084972272 is a wasteful number, since it uses less digits than its factorization.

25828084972272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039487 (or 3039481 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 66.

The spelling of 25828084972272 in words is "twenty-five trillion, eight hundred twenty-eight billion, eighty-four million, nine hundred seventy-two thousand, two hundred seventy-two".