501621906240 has 3024 divisors, whose sum is σ = 2430309510720. Its totient is φ = 97820835840.

The previous prime is 501621906223. The next prime is 501621906263. The reversal of 501621906240 is 42609126105.

501621906240 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 21 + 9 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 501621906195 and 501621906204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 12234680620 + ... + 12234680660.

It is an arithmetic number, because the mean of its divisors is an integer number (803673780).

Almost surely, 2^501621906240 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 501621906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215154755360).

501621906240 is an abundant number, since it is smaller than the sum of its proper divisors (1928687604480).

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

501621906240 is a wasteful number, since it uses less digits than its factorization.

501621906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 501621906240 in words is "five hundred one billion, six hundred twenty-one million, nine hundred six thousand, two hundred forty".