25436136960 has 480 divisors, whose sum is σ = 95634066528. Its totient is φ = 6210846720.

The previous prime is 25436136917. The next prime is 25436136991. The reversal of 25436136960 is 6963163452.

25436136960 is a `hidden beast` number, since 2 + 543 + 6 + 13 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 48821500 + ... + 48822020.

Almost surely, 2^25436136960 is an apocalyptic number.

25436136960 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 25436136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47817033264).

25436136960 is an abundant number, since it is smaller than the sum of its proper divisors (70197929568).

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

25436136960 is a wasteful number, since it uses less digits than its factorization.

25436136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 25436136960 in words is "twenty-five billion, four hundred thirty-six million, one hundred thirty-six thousand, nine hundred sixty".