25463327400 has 384 divisors, whose sum is σ = 101517312000. Its totient is φ = 5745841920.

The previous prime is 25463327389. The next prime is 25463327419. The reversal of 25463327400 is 472336452.

25463327400 is a `hidden beast` number, since 254 + 6 + 332 + 74 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2981937 + ... + 2990463.

It is an arithmetic number, because the mean of its divisors is an integer number (264368000).

Almost surely, 2^25463327400 is an apocalyptic number.

25463327400 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 25463327400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50758656000).

25463327400 is an abundant number, since it is smaller than the sum of its proper divisors (76053984600).

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

25463327400 is a wasteful number, since it uses less digits than its factorization.

25463327400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8638 (or 8623 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 25463327400 in words is "twenty-five billion, four hundred sixty-three million, three hundred twenty-seven thousand, four hundred".