500911693920 has 768 divisors, whose sum is σ = 2048123750400. Its totient is φ = 112989634560.

The previous prime is 500911693883. The next prime is 500911693921. The reversal of 500911693920 is 29396119005.

It is a happy number.

500911693920 is a `hidden beast` number, since 500 + 9 + 116 + 9 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500911693921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71894277 + ... + 71901243.

It is an arithmetic number, because the mean of its divisors is an integer number (2666827800).

Almost surely, 2^500911693920 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 500911693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024061875200).

500911693920 is an abundant number, since it is smaller than the sum of its proper divisors (1547212056480).

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

500911693920 is a wasteful number, since it uses less digits than its factorization.

500911693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108 (or 7094 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 500911693920 in words is "five hundred billion, nine hundred eleven million, six hundred ninety-three thousand, nine hundred twenty".