25170270480 has 320 divisors, whose sum is σ = 88246851840. Its totient is φ = 6675540480.

The previous prime is 25170270457. The next prime is 25170270487. The reversal of 25170270480 is 8407207152.

25170270480 is a `hidden beast` number, since 2 + 5 + 170 + 2 + 7 + 0 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25170270487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51263035 + ... + 51263525.

It is an arithmetic number, because the mean of its divisors is an integer number (275771412).

Almost surely, 2^25170270480 is an apocalyptic number.

25170270480 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 25170270480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44123425920).

25170270480 is an abundant number, since it is smaller than the sum of its proper divisors (63076581360).

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

25170270480 is an equidigital number, since it uses as much as digits as its factorization.

25170270480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 25170270480 in words is "twenty-five billion, one hundred seventy million, two hundred seventy thousand, four hundred eighty".