25800353280 has 800 divisors, whose sum is σ = 105558181344. Its totient is φ = 5966659584.

The previous prime is 25800353221. The next prime is 25800353287. The reversal of 25800353280 is 8235300852.

25800353280 is a `hidden beast` number, since 2 + 580 + 0 + 3 + 53 + 28 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25800353287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45826279 + ... + 45826841.

Almost surely, 2^25800353280 is an apocalyptic number.

25800353280 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 25800353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52779090672).

25800353280 is an abundant number, since it is smaller than the sum of its proper divisors (79757828064).

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

25800353280 is a wasteful number, since it uses less digits than its factorization.

25800353280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25800353280 in words is "twenty-five billion, eight hundred million, three hundred fifty-three thousand, two hundred eighty".