507380320980 has 1152 divisors, whose sum is σ = 1894953715200. Its totient is φ = 113542041600.

The previous prime is 507380320969. The next prime is 507380321017. The reversal of 507380320980 is 89023083705.

507380320980 is a `hidden beast` number, since 507 + 38 + 0 + 3 + 20 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8317710150 + ... + 8317710210.

It is an arithmetic number, because the mean of its divisors is an integer number (1644925100).

Almost surely, 2^507380320980 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 507380320980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947476857600).

507380320980 is an abundant number, since it is smaller than the sum of its proper divisors (1387573394220).

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

507380320980 is a wasteful number, since it uses less digits than its factorization.

507380320980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 507380320980 in words is "five hundred seven billion, three hundred eighty million, three hundred twenty thousand, nine hundred eighty".