25538119761 has 144 divisors (see below), whose sum is σ = 45274459776. Its totient is φ = 12522470400.

The previous prime is 25538119709. The next prime is 25538119769. The reversal of 25538119761 is 16791183552.

It is not a de Polignac number, because 25538119761 - 2¹⁸ = 25537857617 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 25538119761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25538119769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 349837221 + ... + 349837293.

Almost surely, 2^25538119761 is an apocalyptic number.

25538119761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

25538119761 is a deficient number, since it is larger than the sum of its proper divisors (19736340015).

25538119761 is a wasteful number, since it uses less digits than its factorization.

25538119761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 192 counting only the distinct ones).

The product of its digits is 453600, while the sum is 48.

The spelling of 25538119761 in words is "twenty-five billion, five hundred thirty-eight million, one hundred nineteen thousand, seven hundred sixty-one".