25472483942400 has 4032 divisors, whose sum is σ = 113581530316800. Its totient is φ = 5589762048000.

The previous prime is 25472483942357. The next prime is 25472483942401. The reversal of 25472483942400 is 424938427452.

25472483942400 is a `hidden beast` number, since 2 + 5 + 4 + 7 + 2 + 4 + 8 + 394 + 240 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25472483942401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 322436505561 + ... + 322436505639.

It is an arithmetic number, because the mean of its divisors is an integer number (28170022400).

Almost surely, 2^{25472483942400} is an apocalyptic number.

25472483942400 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 25472483942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56790765158400).

25472483942400 is an abundant number, since it is smaller than the sum of its proper divisors (88109046374400).

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

25472483942400 is a wasteful number, since it uses less digits than its factorization.

25472483942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 25472483942400 in words is "twenty-five trillion, four hundred seventy-two billion, four hundred eighty-three million, nine hundred forty-two thousand, four hundred".