500120276701136 has 640 divisors, whose sum is σ = 1268222732550144. Its totient is φ = 185814811607040.

The previous prime is 500120276701127. The next prime is 500120276701159. The reversal of 500120276701136 is 631107672021005.

It is a super-3 number, since 3×500120276701136³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 500120276701093 and 500120276701102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 155461694600 + ... + 155461697816.

Almost surely, 2^{500120276701136} is an apocalyptic number.

500120276701136 is a gapful number since it is divisible by the number (56) 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 500120276701136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634111366275072).

500120276701136 is an abundant number, since it is smaller than the sum of its proper divisors (768102455849008).

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

500120276701136 is a wasteful number, since it uses less digits than its factorization.

500120276701136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 500120276701136 in words is "five hundred trillion, one hundred twenty billion, two hundred seventy-six million, seven hundred one thousand, one hundred thirty-six".