507215417472 has 192 divisors, whose sum is σ = 1537027596000. Its totient is φ = 160106250240.

The previous prime is 507215417437. The next prime is 507215417473. The reversal of 507215417472 is 274714512705.

It is a happy number.

507215417472 is a `hidden beast` number, since 50 + 72 + 1 + 54 + 17 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (507215417473) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 93218272 + ... + 93223712.

Almost surely, 2^507215417472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507215417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768513798000).

507215417472 is an abundant number, since it is smaller than the sum of its proper divisors (1029812178528).

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

507215417472 is a wasteful number, since it uses less digits than its factorization.

507215417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9739 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 507215417472 in words is "five hundred seven billion, two hundred fifteen million, four hundred seventeen thousand, four hundred seventy-two".