160503381947520 has 1536 divisors, whose sum is σ = 604690441205760. Its totient is φ = 40633270272000.

The previous prime is 160503381947501. The next prime is 160503381947537. The reversal of 160503381947520 is 25749183305061.

It is a happy number.

160503381947520 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 0 + 33 + 81 + 9 + 4 + 7 + 520 = 666.

160503381947520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×160503381947520² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 55023441102 + ... + 55023444018.

It is an arithmetic number, because the mean of its divisors is an integer number (393678672660).

It is a 2-persistent number, because it is pandigital, and so is 2⋅160503381947520 = 321006763895040, but 3⋅160503381947520 = 481510145842560 is not.

Almost surely, 2^{160503381947520} is an apocalyptic number.

160503381947520 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 160503381947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302345220602880).

160503381947520 is an abundant number, since it is smaller than the sum of its proper divisors (444187059258240).

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

160503381947520 is a wasteful number, since it uses less digits than its factorization.

160503381947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 160503381947520 in words is "one hundred sixty trillion, five hundred three billion, three hundred eighty-one million, nine hundred forty-seven thousand, five hundred twenty".