245182878720 has 1232 divisors, whose sum is σ = 986304732672. Its totient is φ = 58047528960.

The previous prime is 245182878679. The next prime is 245182878761. The reversal of 245182878720 is 27878281542.

245182878720 is a `hidden beast` number, since 2 + 4 + 518 + 28 + 7 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (245182878679) and next prime (245182878761).

It is a super-2 number, since 2×245182878720² (a number of 24 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1504189359 + ... + 1504189521.

Almost surely, 2^245182878720 is an apocalyptic number.

245182878720 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 245182878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493152366336).

245182878720 is an abundant number, since it is smaller than the sum of its proper divisors (741121853952).

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

245182878720 is a wasteful number, since it uses less digits than its factorization.

245182878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 245182878720 in words is "two hundred forty-five billion, one hundred eighty-two million, eight hundred seventy-eight thousand, seven hundred twenty".