501652661120 has 128 divisors (see below), whose sum is σ = 1293227873280. Its totient is φ = 184979865600.

The previous prime is 501652661113. The next prime is 501652661123. The reversal of 501652661120 is 21166256105.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (501652661123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6291905 + ... + 6371135.

It is an arithmetic number, because the mean of its divisors is an integer number (10103342760).

Almost surely, 2^501652661120 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 501652661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646613936640).

501652661120 is an abundant number, since it is smaller than the sum of its proper divisors (791575212160).

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

501652661120 is a wasteful number, since it uses less digits than its factorization.

501652661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80024 (or 80012 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 501652661120 in words is "five hundred one billion, six hundred fifty-two million, six hundred sixty-one thousand, one hundred twenty".