500825255040 has 1152 divisors, whose sum is σ = 2080416985920. Its totient is φ = 114157486080.

The previous prime is 500825255017. The next prime is 500825255081. The reversal of 500825255040 is 40552528005.

It is a happy number.

500825255040 is a `hidden beast` number, since 5 + 0 + 0 + 82 + 525 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 500825254986 and 500825255004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494397574 + ... + 494398586.

Almost surely, 2^500825255040 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 500825255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040208492960).

500825255040 is an abundant number, since it is smaller than the sum of its proper divisors (1579591730880).

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

500825255040 is a wasteful number, since it uses less digits than its factorization.

500825255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 500825255040 in words is "five hundred billion, eight hundred twenty-five million, two hundred fifty-five thousand, forty".