155540601216 has 960 divisors, whose sum is σ = 632891342160. Its totient is φ = 37275033600.

The previous prime is 155540601187. The next prime is 155540601217. The reversal of 155540601216 is 612106045551.

155540601216 is a `hidden beast` number, since 1 + 5 + 5 + 5 + 40 + 601 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155540601217) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72647506 + ... + 72649646.

Almost surely, 2^155540601216 is an apocalyptic number.

155540601216 is a gapful number since it is divisible by the number (16) 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 155540601216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316445671080).

155540601216 is an abundant number, since it is smaller than the sum of its proper divisors (477350740944).

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

155540601216 is a wasteful number, since it uses less digits than its factorization.

155540601216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 155540601216 its reverse (612106045551), we get a palindrome (767646646767).

The spelling of 155540601216 in words is "one hundred fifty-five billion, five hundred forty million, six hundred one thousand, two hundred sixteen".