15200745840 has 960 divisors, whose sum is σ = 65515806720. Its totient is φ = 3078881280.

The previous prime is 15200745829. The next prime is 15200745851. The reversal of 15200745840 is 4854700251.

15200745840 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 74 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (15200745829) and next prime (15200745851).

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 = 15200745795 and 15200745804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 156708672 + ... + 156708768.

It is an arithmetic number, because the mean of its divisors is an integer number (68245632).

Almost surely, 2^15200745840 is an apocalyptic number.

15200745840 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 15200745840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32757903360).

15200745840 is an abundant number, since it is smaller than the sum of its proper divisors (50315060880).

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

15200745840 is a wasteful number, since it uses less digits than its factorization.

15200745840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 15200745840 in words is "fifteen billion, two hundred million, seven hundred forty-five thousand, eight hundred forty".