245378580480 has 912 divisors, whose sum is σ = 973613541888. Its totient is φ = 56623104000.

The previous prime is 245378580479. The next prime is 245378580529. The reversal of 245378580480 is 84085873542.

245378580480 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 7 + 85 + 80 + 480 = 666.

It is a congruent number.

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, 4022599650 + ... + 4022599710.

Almost surely, 2^245378580480 is an apocalyptic number.

245378580480 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 245378580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486806770944).

245378580480 is an abundant number, since it is smaller than the sum of its proper divisors (728234961408).

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

245378580480 is an equidigital number, since it uses as much as digits as its factorization.

245378580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 245378580480 in words is "two hundred forty-five billion, three hundred seventy-eight million, five hundred eighty thousand, four hundred eighty".