245142085760 has 256 divisors, whose sum is σ = 724739702400. Its totient is φ = 77954088960.

The previous prime is 245142085751. The next prime is 245142085787. The reversal of 245142085760 is 67580241542.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1668392 + ... + 1809368.

Almost surely, 2^245142085760 is an apocalyptic number.

245142085760 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 245142085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362369851200).

245142085760 is an abundant number, since it is smaller than the sum of its proper divisors (479597616640).

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

245142085760 is a wasteful number, since it uses less digits than its factorization.

245142085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141039 (or 141027 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 245142085760 in words is "two hundred forty-five billion, one hundred forty-two million, eighty-five thousand, seven hundred sixty".