25088550480 has 480 divisors, whose sum is σ = 100427857920. Its totient is φ = 5492136960.

The previous prime is 25088550463. The next prime is 25088550497. The reversal of 25088550480 is 8405588052.

25088550480 is a `hidden beast` number, since 2 + 50 + 8 + 8 + 550 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25088550463) and next prime (25088550497).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 16091941 + ... + 16093499.

It is an arithmetic number, because the mean of its divisors is an integer number (209224704).

Almost surely, 2^25088550480 is an apocalyptic number.

25088550480 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 25088550480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50213928960).

25088550480 is an abundant number, since it is smaller than the sum of its proper divisors (75339307440).

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

25088550480 is a wasteful number, since it uses less digits than its factorization.

25088550480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 25088550480 in words is "twenty-five billion, eighty-eight million, five hundred fifty thousand, four hundred eighty".