25142249664 has 252 divisors, whose sum is σ = 86939058024. Its totient is φ = 7183282176.

The previous prime is 25142249663. The next prime is 25142249689. The reversal of 25142249664 is 46694224152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×25142249664² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25142249663) 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, 745552 + ... + 778544.

It is an arithmetic number, because the mean of its divisors is an integer number (344996262).

Almost surely, 2^25142249664 is an apocalyptic number.

25142249664 is a gapful number since it is divisible by the number (24) 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 25142249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43469529012).

25142249664 is an abundant number, since it is smaller than the sum of its proper divisors (61796808360).

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

25142249664 is an equidigital number, since it uses as much as digits as its factorization.

25142249664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33034 (or 33005 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 25142249664 in words is "twenty-five billion, one hundred forty-two million, two hundred forty-nine thousand, six hundred sixty-four".