245268587520 has 1408 divisors, whose sum is σ = 1012681359360. Its totient is φ = 56202854400.

The previous prime is 245268587479. The next prime is 245268587533. The reversal of 245268587520 is 25785862542.

245268587520 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 6 + 8 + 587 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5703920619 + ... + 5703920661.

It is an arithmetic number, because the mean of its divisors is an integer number (719233920).

Almost surely, 2^245268587520 is an apocalyptic number.

245268587520 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 245268587520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506340679680).

245268587520 is an abundant number, since it is smaller than the sum of its proper divisors (767412771840).

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

245268587520 is a wasteful number, since it uses less digits than its factorization.

245268587520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 245268587520 in words is "two hundred forty-five billion, two hundred sixty-eight million, five hundred eighty-seven thousand, five hundred twenty".