25106306400 has 540 divisors, whose sum is σ = 106519502628. Its totient is φ = 5737858560.

The previous prime is 25106306371. The next prime is 25106306419. The reversal of 25106306400 is 460360152.

25106306400 is a `hidden beast` number, since 2 + 5 + 10 + 6 + 3 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3171247 + ... + 3179153.

Almost surely, 2^25106306400 is an apocalyptic number.

25106306400 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 25106306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53259751314).

25106306400 is an abundant number, since it is smaller than the sum of its proper divisors (81413196228).

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

25106306400 is a wasteful number, since it uses less digits than its factorization.

25106306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7953 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 25106306400 its reverse (460360152), we get a palindrome (25566666552).

The spelling of 25106306400 in words is "twenty-five billion, one hundred six million, three hundred six thousand, four hundred".