25006974220800 has 2400 divisors, whose sum is σ = 109551258520704. Its totient is φ = 5553930240000.

The previous prime is 25006974220799. The next prime is 25006974220801. The reversal of 25006974220800 is 802247960052.

25006974220800 is a `hidden beast` number, since 2 + 500 + 6 + 9 + 7 + 42 + 20 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25006974220799) and next prime (25006974220801).

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is not an unprimeable number, because it can be changed into a prime (25006974220801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22387621842 + ... + 22387622958.

Almost surely, 2^{25006974220800} is an apocalyptic number.

25006974220800 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 25006974220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54775629260352).

25006974220800 is an abundant number, since it is smaller than the sum of its proper divisors (84544284299904).

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

25006974220800 is a wasteful number, since it uses less digits than its factorization.

25006974220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 25006974220800 in words is "twenty-five trillion, six billion, nine hundred seventy-four million, two hundred twenty thousand, eight hundred".