25276164144 has 160 divisors (see below), whose sum is σ = 81721626624. Its totient is φ = 6540023040.

The previous prime is 25276164119. The next prime is 25276164149. The reversal of 25276164144 is 44146167252.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 25276164096 and 25276164105.

It is not an unprimeable number, because it can be changed into a prime (25276164149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 959047 + ... + 985049.

Almost surely, 2^25276164144 is an apocalyptic number.

25276164144 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 25276164144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40860813312).

25276164144 is an abundant number, since it is smaller than the sum of its proper divisors (56445462480).

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

25276164144 is a wasteful number, since it uses less digits than its factorization.

25276164144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26295 (or 26289 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

It can be divided in two parts, 25276 and 164144, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 25276164144 in words is "twenty-five billion, two hundred seventy-six million, one hundred sixty-four thousand, one hundred forty-four".