25198388389152 has 216 divisors, whose sum is σ = 79544344779900. Its totient is φ = 7560271488000.

The previous prime is 25198388389123. The next prime is 25198388389159.

It is a happy number.

25198388389152 is a `hidden beast` number, since 2 + 5 + 1 + 98 + 3 + 8 + 8 + 389 + 152 = 666.

25198388389152 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 22384972588176 + 2813415800976 = 4731276^2 + 1677324^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (25198388389159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60027 + ... + 7099322.

Almost surely, 2^{25198388389152} is an apocalyptic number.

25198388389152 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 25198388389152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39772172389950).

25198388389152 is an abundant number, since it is smaller than the sum of its proper divisors (54345956390748).

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

25198388389152 is a wasteful number, since it uses less digits than its factorization.

25198388389152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7159488 (or 7159466 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 72.

The spelling of 25198388389152 in words is "twenty-five trillion, one hundred ninety-eight billion, three hundred eighty-eight million, three hundred eighty-nine thousand, one hundred fifty-two".