160916901600 has 864 divisors, whose sum is σ = 666387098496. Its totient is φ = 33423667200.

The previous prime is 160916901599. The next prime is 160916901619. The reversal of 160916901600 is 6109619061.

160916901600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 143 ways as a sum of consecutive naturals, for example, 102428815 + ... + 102430385.

It is an arithmetic number, because the mean of its divisors is an integer number (771281364).

Almost surely, 2^160916901600 is an apocalyptic number.

160916901600 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 160916901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333193549248).

160916901600 is an abundant number, since it is smaller than the sum of its proper divisors (505470196896).

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

160916901600 is a wasteful number, since it uses less digits than its factorization.

160916901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The spelling of 160916901600 in words is "one hundred sixty billion, nine hundred sixteen million, nine hundred one thousand, six hundred".