25571226240 has 720 divisors, whose sum is σ = 105462607770. Its totient is φ = 5708924928.

The previous prime is 25571226223. The next prime is 25571226271. The reversal of 25571226240 is 4262217552.

25571226240 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 1 + 22 + 624 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23014103616 + 2557122624 = 151704^2 + 50568^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×25571226240² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 25571226195 and 25571226204.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 594679659 + ... + 594679701.

Almost surely, 2^25571226240 is an apocalyptic number.

25571226240 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 25571226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731303885).

25571226240 is an abundant number, since it is smaller than the sum of its proper divisors (79891381530).

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

25571226240 is an frugal number, since it uses more digits than its factorization.

25571226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 25571226240 in words is "twenty-five billion, five hundred seventy-one million, two hundred twenty-six thousand, two hundred forty".