25401600000 has 1080 divisors, whose sum is σ = 110317997790. Its totient is φ = 5806080000.

The previous prime is 25401599999. The next prime is 25401600011. The reversal of 25401600000 is 610452.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25401600000 is a `hidden beast` number, since 25 + 40 + 1 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36578304 + 25365021696 = 6048^2 + 159264^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 89 ways as a sum of consecutive naturals, for example, 3628799997 + ... + 3628800003.

Almost surely, 2^25401600000 is an apocalyptic number.

25401600000 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 25401600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55158998895).

25401600000 is an abundant number, since it is smaller than the sum of its proper divisors (84916397790).

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

25401600000 is an frugal number, since it uses more digits than its factorization.

25401600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 25401600000 in words is "twenty-five billion, four hundred one million, six hundred thousand".