15033875040 has 144 divisors (see below), whose sum is σ = 51534258048. Its totient is φ = 3990970368.

The previous prime is 15033875029. The next prime is 15033875053. The reversal of 15033875040 is 4057833051.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 15033874986 and 15033875004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297712 + ... + 344528.

It is an arithmetic number, because the mean of its divisors is an integer number (357876792).

Almost surely, 2^15033875040 is an apocalyptic number.

15033875040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15033875040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25767129024).

15033875040 is an abundant number, since it is smaller than the sum of its proper divisors (36500383008).

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

15033875040 is a wasteful number, since it uses less digits than its factorization.

15033875040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47061 (or 47050 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 15033875040 in words is "fifteen billion, thirty-three million, eight hundred seventy-five thousand, forty".