155213815680 has 2048 divisors, whose sum is σ = 730968883200. Its totient is φ = 30191616000.

The previous prime is 155213815663. The next prime is 155213815699. The reversal of 155213815680 is 86518312551.

155213815680 is a `hidden beast` number, since 1 + 5 + 5 + 2 + 1 + 3 + 81 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2186110045 + ... + 2186110115.

It is an arithmetic number, because the mean of its divisors is an integer number (356918400).

Almost surely, 2^155213815680 is an apocalyptic number.

155213815680 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 155213815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365484441600).

155213815680 is an abundant number, since it is smaller than the sum of its proper divisors (575755067520).

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

155213815680 is a wasteful number, since it uses less digits than its factorization.

155213815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 155213815680 in words is "one hundred fifty-five billion, two hundred thirteen million, eight hundred fifteen thousand, six hundred eighty".