160607480800 has 288 divisors, whose sum is σ = 427423705632. Its totient is φ = 58579476480.

The previous prime is 160607480783. The next prime is 160607480801. The reversal of 160607480800 is 8084706061.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160607480801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 567517459 + ... + 567517741.

It is an arithmetic number, because the mean of its divisors is an integer number (1484110089).

Almost surely, 2^160607480800 is an apocalyptic number.

160607480800 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 160607480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213711852816).

160607480800 is an abundant number, since it is smaller than the sum of its proper divisors (266816224832).

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

160607480800 is a wasteful number, since it uses less digits than its factorization.

160607480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 160607480800 in words is "one hundred sixty billion, six hundred seven million, four hundred eighty thousand, eight hundred".