245080753920 has 720 divisors, whose sum is σ = 932124584160. Its totient is φ = 61367943168.

The previous prime is 245080753913. The next prime is 245080753937. The reversal of 245080753920 is 29357080542.

245080753920 is a `hidden beast` number, since 2 + 4 + 508 + 0 + 7 + 53 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111247539 + ... + 111249741.

It is an arithmetic number, because the mean of its divisors is an integer number (1294617478).

Almost surely, 2^245080753920 is an apocalyptic number.

245080753920 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 245080753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466062292080).

245080753920 is an abundant number, since it is smaller than the sum of its proper divisors (687043830240).

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

245080753920 is a wasteful number, since it uses less digits than its factorization.

245080753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 245080753920 in words is "two hundred forty-five billion, eighty million, seven hundred fifty-three thousand, nine hundred twenty".