507890880000 has 1800 divisors, whose sum is σ = 2202357488760. Its totient is φ = 112250880000.

The previous prime is 507890879987. The next prime is 507890880043. The reversal of 507890880000 is 88098705.

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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 8326079970 + ... + 8326080030.

Almost surely, 2^507890880000 is an apocalyptic number.

507890880000 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 507890880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101178744380).

507890880000 is an abundant number, since it is smaller than the sum of its proper divisors (1694466608760).

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

507890880000 is an equidigital number, since it uses as much as digits as its factorization.

507890880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 507890880000 in words is "five hundred seven billion, eight hundred ninety million, eight hundred eighty thousand".