155328263354880 has 5760 divisors, whose sum is σ = 764532026818560. Its totient is φ = 28203614208000.

The previous prime is 155328263354879. The next prime is 155328263354881. The reversal of 155328263354880 is 88453362823551.

155328263354880 is a `hidden beast` number, since 1 + 5 + 5 + 3 + 2 + 8 + 2 + 6 + 3 + 3 + 548 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (155328263354879) and next prime (155328263354881).

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (155328263354881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 552769620340 + ... + 552769620620.

It is an arithmetic number, because the mean of its divisors is an integer number (132731254656).

Almost surely, 2^{155328263354880} is an apocalyptic number.

155328263354880 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 155328263354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382266013409280).

155328263354880 is an abundant number, since it is smaller than the sum of its proper divisors (609203763463680).

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

155328263354880 is a wasteful number, since it uses less digits than its factorization.

155328263354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 155328263354880 in words is "one hundred fifty-five trillion, three hundred twenty-eight billion, two hundred sixty-three million, three hundred fifty-four thousand, eight hundred eighty".