25616532480 has 704 divisors, whose sum is σ = 103569684480. Its totient is φ = 5293178880.

The previous prime is 25616532457. The next prime is 25616532499. The reversal of 25616532480 is 8423561652.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143109031 + ... + 143109209.

Almost surely, 2^25616532480 is an apocalyptic number.

25616532480 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 25616532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51784842240).

25616532480 is an abundant number, since it is smaller than the sum of its proper divisors (77953152000).

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

25616532480 is a wasteful number, since it uses less digits than its factorization.

25616532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

It can be divided in two parts, 25616 and 532480, that added together give a triangular number (558096 = T₁₀₅₆).

The spelling of 25616532480 in words is "twenty-five billion, six hundred sixteen million, five hundred thirty-two thousand, four hundred eighty".