25456535470080 has 2720 divisors, whose sum is σ = 113184191514240. Its totient is φ = 5381459804160.

The previous prime is 25456535470039. The next prime is 25456535470109. The reversal of 25456535470080 is 8007453565452.

25456535470080 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 65 + 35 + 470 + 0 + 80 = 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 = 25456535469999 and 25456535470026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 72114831184 + ... + 72114831536.

Almost surely, 2^{25456535470080} is an apocalyptic number.

25456535470080 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 25456535470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56592095757120).

25456535470080 is an abundant number, since it is smaller than the sum of its proper divisors (87727656044160).

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

25456535470080 is a wasteful number, since it uses less digits than its factorization.

25456535470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 25456535470080 in words is "twenty-five trillion, four hundred fifty-six billion, five hundred thirty-five million, four hundred seventy thousand, eighty".