507256780800 has 1296 divisors, whose sum is σ = 2148009940440. Its totient is φ = 105214771200.

The previous prime is 507256780781. The next prime is 507256780817. The reversal of 507256780800 is 8087652705.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 507256780800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 910694122 + ... + 910694678.

Almost surely, 2^507256780800 is an apocalyptic number.

507256780800 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 507256780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074004970220).

507256780800 is an abundant number, since it is smaller than the sum of its proper divisors (1640753159640).

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

507256780800 is a wasteful number, since it uses less digits than its factorization.

507256780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 507256780800 in words is "five hundred seven billion, two hundred fifty-six million, seven hundred eighty thousand, eight hundred".