25730786501280 has 1920 divisors, whose sum is σ = 112900293918720. Its totient is φ = 5388297707520.

The previous prime is 25730786501267. The next prime is 25730786501281. The reversal of 25730786501280 is 8210568703752.

25730786501280 is a `hidden beast` number, since 2 + 5 + 7 + 30 + 7 + 86 + 501 + 28 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25730786501281) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6486205857 + ... + 6486209823.

It is an arithmetic number, because the mean of its divisors is an integer number (58802236416).

Almost surely, 2^{25730786501280} is an apocalyptic number.

25730786501280 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 25730786501280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56450146959360).

25730786501280 is an abundant number, since it is smaller than the sum of its proper divisors (87169507417440).

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

25730786501280 is a wasteful number, since it uses less digits than its factorization.

25730786501280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4144 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 25730786501280 in words is "twenty-five trillion, seven hundred thirty billion, seven hundred eighty-six million, five hundred one thousand, two hundred eighty".