501334668900 has 180 divisors, whose sum is σ = 1750139224372. Its totient is φ = 123405431040.

The previous prime is 501334668853. The next prime is 501334668917. The reversal of 501334668900 is 9866433105.

501334668900 is a `hidden beast` number, since 50 + 133 + 466 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 148434513984 + 352900154916 = 385272^2 + 594054^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2275207 + ... + 2485806.

Almost surely, 2^501334668900 is an apocalyptic number.

501334668900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

501334668900 is an abundant number, since it is smaller than the sum of its proper divisors (1248804555472).

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

501334668900 is a wasteful number, since it uses less digits than its factorization.

501334668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761052 (or 4761036 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 501334668900 in words is "five hundred one billion, three hundred thirty-four million, six hundred sixty-eight thousand, nine hundred".