25201379511468 has 72 divisors (see below), whose sum is σ = 64040543723520. Its totient is φ = 8356017663840.

The previous prime is 25201379511463. The next prime is 25201379511551. The reversal of 25201379511468 is 86411597310252.

25201379511468 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 13 + 79 + 511 + 46 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (25201379511463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138439813 + ... + 138621731.

It is an arithmetic number, because the mean of its divisors is an integer number (889451996160).

It is a 1-persistent number, because it is pandigital, but 2⋅25201379511468 = 50402759022936 is not.

Almost surely, 2^{25201379511468} is an apocalyptic number.

It is an amenable number.

25201379511468 is an abundant number, since it is smaller than the sum of its proper divisors (38839164212052).

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

25201379511468 is a wasteful number, since it uses less digits than its factorization.

25201379511468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202267 (or 202262 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 25201379511468 in words is "twenty-five trillion, two hundred one billion, three hundred seventy-nine million, five hundred eleven thousand, four hundred sixty-eight".