504155852640 has 1152 divisors, whose sum is σ = 2078353105920. Its totient is φ = 109851033600.

The previous prime is 504155852639. The next prime is 504155852657. The reversal of 504155852640 is 46258551405.

504155852640 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 5 + 585 + 2 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1197519630 + ... + 1197520050.

It is an arithmetic number, because the mean of its divisors is an integer number (1804125960).

Almost surely, 2^504155852640 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 504155852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039176552960).

504155852640 is an abundant number, since it is smaller than the sum of its proper divisors (1574197253280).

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

504155852640 is a wasteful number, since it uses less digits than its factorization.

504155852640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 504155852640 in words is "five hundred four billion, one hundred fifty-five million, eight hundred fifty-two thousand, six hundred forty".