25572280219200 has 3360 divisors, whose sum is σ = 122044586146560. Its totient is φ = 5150225203200.

The previous prime is 25572280219099. The next prime is 25572280219219. The reversal of 25572280219200 is 291208227552.

25572280219200 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 228 + 0 + 219 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7246323036 + ... + 7246326564.

It is an arithmetic number, because the mean of its divisors is an integer number (36322793496).

Almost surely, 2^{25572280219200} is an apocalyptic number.

25572280219200 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 25572280219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61022293073280).

25572280219200 is an abundant number, since it is smaller than the sum of its proper divisors (96472305927360).

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

25572280219200 is a wasteful number, since it uses less digits than its factorization.

25572280219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3627 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 25572280219200 in words is "twenty-five trillion, five hundred seventy-two billion, two hundred eighty million, two hundred nineteen thousand, two hundred".