25379012880 has 320 divisors, whose sum is σ = 99097824000. Its totient is φ = 5918220288.

The previous prime is 25379012807. The next prime is 25379012881. The reversal of 25379012880 is 8821097352.

It is a happy number.

25379012880 is a `hidden beast` number, since 2 + 537 + 90 + 1 + 28 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25379012881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509736 + ... + 557304.

It is an arithmetic number, because the mean of its divisors is an integer number (309680700).

Almost surely, 2^25379012880 is an apocalyptic number.

25379012880 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 25379012880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49548912000).

25379012880 is an abundant number, since it is smaller than the sum of its proper divisors (73718811120).

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

25379012880 is a wasteful number, since it uses less digits than its factorization.

25379012880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47623 (or 47611 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 25379012880 in words is "twenty-five billion, three hundred seventy-nine million, twelve thousand, eight hundred eighty".