25095536640 has 640 divisors, whose sum is σ = 94395565440. Its totient is φ = 6370099200.

The previous prime is 25095536621. The next prime is 25095536689. The reversal of 25095536640 is 4663559052.

25095536640 is a `hidden beast` number, since 2 + 50 + 9 + 5 + 536 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411402210 + ... + 411402270.

It is an arithmetic number, because the mean of its divisors is an integer number (147493071).

Almost surely, 2^25095536640 is an apocalyptic number.

25095536640 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 25095536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47197782720).

25095536640 is an abundant number, since it is smaller than the sum of its proper divisors (69300028800).

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

25095536640 is an frugal number, since it uses more digits than its factorization.

25095536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 25095536640 in words is "twenty-five billion, ninety-five million, five hundred thirty-six thousand, six hundred forty".