25427520000 has 700 divisors, whose sum is σ = 96059321490. Its totient is φ = 6718464000.

The previous prime is 25427519993. The next prime is 25427520031. The reversal of 25427520000 is 2572452.

It can be written as a sum of positive squares in 5 ways, for example, as 1106493696 + 24321026304 = 33264^2 + 155952^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 233279946 + ... + 233280054.

Almost surely, 2^25427520000 is an apocalyptic number.

25427520000 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 25427520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48029660745).

25427520000 is an abundant number, since it is smaller than the sum of its proper divisors (70631801490).

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

25427520000 is an frugal number, since it uses more digits than its factorization.

25427520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 25427520000 in words is "twenty-five billion, four hundred twenty-seven million, five hundred twenty thousand".