501560754642 has 80 divisors (see below), whose sum is σ = 1160410800384. Its totient is φ = 161753436000.

The previous prime is 501560754581. The next prime is 501560754649. The reversal of 501560754642 is 246457065105.

501560754642 is a `hidden beast` number, since 5 + 0 + 1 + 5 + 60 + 7 + 546 + 42 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (501560754649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25205517 + ... + 25225407.

Almost surely, 2^501560754642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501560754642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580205400192).

501560754642 is an abundant number, since it is smaller than the sum of its proper divisors (658850045742).

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

501560754642 is a wasteful number, since it uses less digits than its factorization.

501560754642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24957 (or 24948 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 501560754642 in words is "five hundred one billion, five hundred sixty million, seven hundred fifty-four thousand, six hundred forty-two".