25542469392384 has 768 divisors, whose sum is σ = 86870336716800. Its totient is φ = 6497260535808.

The previous prime is 25542469392383. The next prime is 25542469392397. The reversal of 25542469392384 is 48329396424552.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25542469392383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15322416319 + ... + 15322417985.

It is an arithmetic number, because the mean of its divisors is an integer number (113112417600).

Almost surely, 2^{25542469392384} is an apocalyptic number.

25542469392384 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 25542469392384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43435168358400).

25542469392384 is an abundant number, since it is smaller than the sum of its proper divisors (61327867324416).

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

25542469392384 is a wasteful number, since it uses less digits than its factorization.

25542469392384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2818 counting only the distinct ones).

The product of its digits is 447897600, while the sum is 66.

The spelling of 25542469392384 in words is "twenty-five trillion, five hundred forty-two billion, four hundred sixty-nine million, three hundred ninety-two thousand, three hundred eighty-four".