25578519120 has 1280 divisors, whose sum is σ = 117112504320. Its totient is φ = 5018112000.

The previous prime is 25578519119. The next prime is 25578519137. The reversal of 25578519120 is 2191587552.

25578519120 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 8 + 519 + 120 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 623866300 + ... + 623866340.

It is an arithmetic number, because the mean of its divisors is an integer number (91494144).

Almost surely, 2^25578519120 is an apocalyptic number.

25578519120 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 25578519120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58556252160).

25578519120 is an abundant number, since it is smaller than the sum of its proper divisors (91533985200).

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

25578519120 is a wasteful number, since it uses less digits than its factorization.

25578519120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 25578519120 in words is "twenty-five billion, five hundred seventy-eight million, five hundred nineteen thousand, one hundred twenty".