507034080000 has 1800 divisors, whose sum is σ = 2262290435328. Its totient is φ = 110854656000.

The previous prime is 507034079999. The next prime is 507034080011. The reversal of 507034080000 is 80430705.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 22044959989 + ... + 22044960011.

Almost surely, 2^507034080000 is an apocalyptic number.

507034080000 is a gapful number since it is divisible by the number (50) 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 507034080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131145217664).

507034080000 is an abundant number, since it is smaller than the sum of its proper divisors (1755256355328).

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

507034080000 is an frugal number, since it uses more digits than its factorization.

507034080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 507034080000 in words is "five hundred seven billion, thirty-four million, eighty thousand".