504051182640 has 160 divisors (see below), whose sum is σ = 1736663846400. Its totient is φ = 134375904000.

The previous prime is 504051182617. The next prime is 504051182641. The reversal of 504051182640 is 46281150405.

It is a happy number.

504051182640 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 5 + 1 + 1 + 8 + 2 + 640 = 666.

504051182640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 504051182595 and 504051182604.

It is not an unprimeable number, because it can be changed into a prime (504051182641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8131765 + ... + 8193515.

It is an arithmetic number, because the mean of its divisors is an integer number (10854149040).

Almost surely, 2^504051182640 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 504051182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868331923200).

504051182640 is an abundant number, since it is smaller than the sum of its proper divisors (1232612663760).

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

504051182640 is a wasteful number, since it uses less digits than its factorization.

504051182640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65552 (or 65540 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 504051182640 in words is "five hundred four billion, fifty-one million, one hundred eighty-two thousand, six hundred forty".