25515128770560 has 5824 divisors, whose sum is σ = 123453588222720. Its totient is φ = 4953389137920.

The previous prime is 25515128770489. The next prime is 25515128770567. The reversal of 25515128770560 is 6507782151552.

25515128770560 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 5 + 1 + 2 + 8 + 7 + 70 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25515128770497 and 25515128770506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25515128770567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 689598074862 + ... + 689598074898.

Almost surely, 2^{25515128770560} is an apocalyptic number.

25515128770560 is a gapful number since it is divisible by the number (20) 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 25515128770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61726794111360).

25515128770560 is an abundant number, since it is smaller than the sum of its proper divisors (97938459452160).

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

25515128770560 is a wasteful number, since it uses less digits than its factorization.

25515128770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5880000, while the sum is 54.

The spelling of 25515128770560 in words is "twenty-five trillion, five hundred fifteen billion, one hundred twenty-eight million, seven hundred seventy thousand, five hundred sixty".