25579473920 has 1056 divisors, whose sum is σ = 90326347776. Its totient is φ = 6812467200.

The previous prime is 25579473901. The next prime is 25579473937. The reversal of 25579473920 is 2937497552.

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, 825144305 + ... + 825144335.

Almost surely, 2^25579473920 is an apocalyptic number.

25579473920 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 25579473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45163173888).

25579473920 is an abundant number, since it is smaller than the sum of its proper divisors (64746873856).

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

25579473920 is a wasteful number, since it uses less digits than its factorization.

25579473920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 53.

The spelling of 25579473920 in words is "twenty-five billion, five hundred seventy-nine million, four hundred seventy-three thousand, nine hundred twenty".