507243779146272 has 144 divisors (see below), whose sum is σ = 1559162763248832. Its totient is φ = 143967013747200.

The previous prime is 507243779146259. The next prime is 507243779146283. The reversal of 507243779146272 is 272641977342705.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356350743 + ... + 357771350.

It is an arithmetic number, because the mean of its divisors is an integer number (10827519189228).

Almost surely, 2^{507243779146272} is an apocalyptic number.

It is an amenable number.

507243779146272 is an abundant number, since it is smaller than the sum of its proper divisors (1051918984102560).

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

507243779146272 is a wasteful number, since it uses less digits than its factorization.

507243779146272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714122271 (or 714122256 counting only the distinct ones).

The product of its (nonzero) digits is 248935680, while the sum is 66.

The spelling of 507243779146272 in words is "five hundred seven trillion, two hundred forty-three billion, seven hundred seventy-nine million, one hundred forty-six thousand, two hundred seventy-two".