15022745920 has 448 divisors, whose sum is σ = 46077566976. Its totient is φ = 4538695680.

The previous prime is 15022745887. The next prime is 15022745989. The reversal of 15022745920 is 2954722051.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 15022745920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78653025 + ... + 78653215.

It is an arithmetic number, because the mean of its divisors is an integer number (102851712).

Almost surely, 2^15022745920 is an apocalyptic number.

15022745920 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 15022745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038783488).

15022745920 is an abundant number, since it is smaller than the sum of its proper divisors (31054821056).

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

15022745920 is a wasteful number, since it uses less digits than its factorization.

15022745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 15022745920 in words is "fifteen billion, twenty-two million, seven hundred forty-five thousand, nine hundred twenty".