245781847200 has 288 divisors, whose sum is σ = 822806087040. Its totient is φ = 63687884800.

The previous prime is 245781847183. The next prime is 245781847211. The reversal of 245781847200 is 2748187542.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 245781847200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25283941 + ... + 25293659.

It is an arithmetic number, because the mean of its divisors is an integer number (2856965580).

Almost surely, 2^245781847200 is an apocalyptic number.

245781847200 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 245781847200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411403043520).

245781847200 is an abundant number, since it is smaller than the sum of its proper divisors (577024239840).

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

245781847200 is a wasteful number, since it uses less digits than its factorization.

245781847200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10040 (or 10027 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 48.

It can be divided in two parts, 245781 and 847200, that added together give a triangular number (1092981 = T₁₄₇₈).

The spelling of 245781847200 in words is "two hundred forty-five billion, seven hundred eighty-one million, eight hundred forty-seven thousand, two hundred".