245525524200 has 288 divisors, whose sum is σ = 928535212800. Its totient is φ = 57601152000.

The previous prime is 245525524163. The next prime is 245525524219. The reversal of 245525524200 is 2425525542.

245525524200 is a `hidden beast` number, since 2 + 45 + 525 + 52 + 42 + 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 71 ways as a sum of consecutive naturals, for example, 413796 + ... + 813804.

It is an arithmetic number, because the mean of its divisors is an integer number (3224080600).

Almost surely, 2^245525524200 is an apocalyptic number.

245525524200 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 245525524200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464267606400).

245525524200 is an abundant number, since it is smaller than the sum of its proper divisors (683009688600).

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

245525524200 is a wasteful number, since it uses less digits than its factorization.

245525524200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400073 (or 400061 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 24552 and 5524200, that multiplied together give a square (135630158400 = 368280²).

The spelling of 245525524200 in words is "two hundred forty-five billion, five hundred twenty-five million, five hundred twenty-four thousand, two hundred".