15534624042 has 144 divisors (see below), whose sum is σ = 40710563712. Its totient is φ = 4353354720.

The previous prime is 15534624041. The next prime is 15534624101. The reversal of 15534624042 is 24042643551.

15534624042 is a `hidden beast` number, since 1 + 553 + 4 + 62 + 4 + 0 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 15534623988 and 15534624006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15534624041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4866667 + ... + 4869857.

It is an arithmetic number, because the mean of its divisors is an integer number (282712248).

Almost surely, 2^15534624042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15534624042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355281856).

15534624042 is an abundant number, since it is smaller than the sum of its proper divisors (25175939670).

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

15534624042 is an frugal number, since it uses more digits than its factorization.

15534624042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

It can be divided in two parts, 1553462 and 4042, that added together give a square (1557504 = 1248²).

The spelling of 15534624042 in words is "fifteen billion, five hundred thirty-four million, six hundred twenty-four thousand, forty-two".