25591179920 has 80 divisors (see below), whose sum is σ = 63052683120. Its totient is φ = 9642393600.

The previous prime is 25591179899. The next prime is 25591179941. The reversal of 25591179920 is 2997119552.

It is an interprime number because it is at equal distance from previous prime (25591179899) and next prime (25591179941).

It can be written as a sum of positive squares in 8 ways, for example, as 9378760336 + 16212419584 = 96844^2 + 127328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×25591179920² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39401 + ... + 229640.

It is an arithmetic number, because the mean of its divisors is an integer number (788158539).

Almost surely, 2^25591179920 is an apocalyptic number.

25591179920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25591179920 is an abundant number, since it is smaller than the sum of its proper divisors (37461503200).

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

25591179920 is a wasteful number, since it uses less digits than its factorization.

25591179920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269124 (or 269118 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 50.

The spelling of 25591179920 in words is "twenty-five billion, five hundred ninety-one million, one hundred seventy-nine thousand, nine hundred twenty".