245105724600 has 480 divisors, whose sum is σ = 983318648400. Its totient is φ = 55923609600.

The previous prime is 245105724571. The next prime is 245105724601. The reversal of 245105724600 is 6427501542.

It is a happy number.

245105724600 is a `hidden beast` number, since 2 + 45 + 1 + 0 + 5 + 7 + 2 + 4 + 600 = 666.

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 (245105724601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2988946 + ... + 3069854.

Almost surely, 2^245105724600 is an apocalyptic number.

245105724600 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 245105724600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491659324200).

245105724600 is an abundant number, since it is smaller than the sum of its proper divisors (738212923800).

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

245105724600 is a wasteful number, since it uses less digits than its factorization.

245105724600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80965 (or 80947 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 245105724600 in words is "two hundred forty-five billion, one hundred five million, seven hundred twenty-four thousand, six hundred".