25830830271972 has 144 divisors (see below), whose sum is σ = 66918244550976. Its totient is φ = 7748519328000.

The previous prime is 25830830271947. The next prime is 25830830271973. The reversal of 25830830271972 is 27917203803852.

It is not an unprimeable number, because it can be changed into a prime (25830830271973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 926386743 + ... + 926414625.

It is an arithmetic number, because the mean of its divisors is an integer number (464710031604).

Almost surely, 2^{25830830271972} is an apocalyptic number.

25830830271972 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 25830830271972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33459122275488).

25830830271972 is an abundant number, since it is smaller than the sum of its proper divisors (41087414279004).

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

25830830271972 is a wasteful number, since it uses less digits than its factorization.

25830830271972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34330 (or 34317 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 25830830271972 in words is "twenty-five trillion, eight hundred thirty billion, eight hundred thirty million, two hundred seventy-one thousand, nine hundred seventy-two".