25815160405350 has 192 divisors, whose sum is σ = 74079624314880. Its totient is φ = 6603020121600.

The previous prime is 25815160405303. The next prime is 25815160405367. The reversal of 25815160405350 is 5350406151852.

25815160405350 is a `hidden beast` number, since 2 + 5 + 8 + 1 + 5 + 1 + 604 + 0 + 5 + 35 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 25815160405296 and 25815160405305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1999627 + ... + 7458473.

It is an arithmetic number, because the mean of its divisors is an integer number (385831376640).

Almost surely, 2^{25815160405350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25815160405350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37039812157440).

25815160405350 is an abundant number, since it is smaller than the sum of its proper divisors (48264463909530).

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

25815160405350 is a wasteful number, since it uses less digits than its factorization.

25815160405350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459012 (or 5459001 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 25815160405350 in words is "twenty-five trillion, eight hundred fifteen billion, one hundred sixty million, four hundred five thousand, three hundred fifty".