25162411426152 has 256 divisors, whose sum is σ = 84667780915200. Its totient is φ = 6018192967680.

The previous prime is 25162411426133. The next prime is 25162411426153.

25162411426152 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (25162411426153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8545393 + ... + 11106239.

It is an arithmetic number, because the mean of its divisors is an integer number (330733519200).

Almost surely, 2^{25162411426152} is an apocalyptic number.

25162411426152 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 25162411426152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42333890457600).

25162411426152 is an abundant number, since it is smaller than the sum of its proper divisors (59505369489048).

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

25162411426152 is a wasteful number, since it uses less digits than its factorization.

25162411426152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2561296 (or 2561292 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The spelling of 25162411426152 in words is "twenty-five trillion, one hundred sixty-two billion, four hundred eleven million, four hundred twenty-six thousand, one hundred fifty-two".