15045750720 has 1344 divisors, whose sum is σ = 73810953216. Its totient is φ = 2707292160.

The previous prime is 15045750691. The next prime is 15045750749. The reversal of 15045750720 is 2705754051.

15045750720 is a `hidden beast` number, since 15 + 0 + 4 + 575 + 0 + 72 + 0 = 666.

15045750720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15045750691) and next prime (15045750749).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×15045750720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49008807 + ... + 49009113.

It is an arithmetic number, because the mean of its divisors is an integer number (54918864).

Almost surely, 2^15045750720 is an apocalyptic number.

15045750720 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 15045750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36905476608).

15045750720 is an abundant number, since it is smaller than the sum of its proper divisors (58765202496).

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

15045750720 is a wasteful number, since it uses less digits than its factorization.

15045750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 15045750720 in words is "fifteen billion, forty-five million, seven hundred fifty thousand, seven hundred twenty".