25559135280 has 800 divisors, whose sum is σ = 105938802816. Its totient is φ = 5589762048.

The previous prime is 25559135249. The next prime is 25559135311. The reversal of 25559135280 is 8253195552.

It is a happy number.

25559135280 is a `hidden beast` number, since 2 + 5 + 5 + 591 + 3 + 52 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25559135249) and next prime (25559135311).

It is a super-2 number, since 2×25559135280² (a number of 22 digits) contains 22 as substring.

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

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, 162796962 + ... + 162797118.

Almost surely, 2^25559135280 is an apocalyptic number.

25559135280 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 25559135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52969401408).

25559135280 is an abundant number, since it is smaller than the sum of its proper divisors (80379667536).

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

25559135280 is a wasteful number, since it uses less digits than its factorization.

25559135280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 25559135280 in words is "twenty-five billion, five hundred fifty-nine million, one hundred thirty-five thousand, two hundred eighty".