15349720320 has 720 divisors, whose sum is σ = 61506510912. Its totient is φ = 3622993920.

The previous prime is 15349720297. The next prime is 15349720349. The reversal of 15349720320 is 2302794351.

15349720320 is a `hidden beast` number, since 1 + 534 + 97 + 2 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×15349720320² (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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49040484 + ... + 49040796.

Almost surely, 2^15349720320 is an apocalyptic number.

15349720320 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 15349720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30753255456).

15349720320 is an abundant number, since it is smaller than the sum of its proper divisors (46156790592).

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

15349720320 is a wasteful number, since it uses less digits than its factorization.

15349720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 15349720320 in words is "fifteen billion, three hundred forty-nine million, seven hundred twenty thousand, three hundred twenty".