25008961536 has 576 divisors, whose sum is σ = 83174364000. Its totient is φ = 7184056320.

The previous prime is 25008961469. The next prime is 25008961541. The reversal of 25008961536 is 63516980052.

25008961536 is a `hidden beast` number, since 2 + 50 + 0 + 8 + 9 + 61 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 25008961491 and 25008961500.

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, 409982946 + ... + 409983006.

Almost surely, 2^25008961536 is an apocalyptic number.

25008961536 is a gapful number since it is divisible by the number (26) 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 25008961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41587182000).

25008961536 is an abundant number, since it is smaller than the sum of its proper divisors (58165402464).

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

25008961536 is a wasteful number, since it uses less digits than its factorization.

25008961536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

It can be divided in two parts, 2500 and 8961536, that added together give a square (8964036 = 2994²).

The spelling of 25008961536 in words is "twenty-five billion, eight million, nine hundred sixty-one thousand, five hundred thirty-six".