155622282117120 has 1920 divisors, whose sum is σ = 689683590758400. Its totient is φ = 32415651201024.

The previous prime is 155622282117103. The next prime is 155622282117121. The reversal of 155622282117120 is 21711282226551.

155622282117120 is a `hidden beast` number, since 1 + 5 + 5 + 622 + 2 + 8 + 2 + 1 + 1 + 7 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is not an unprimeable number, because it can be changed into a prime (155622282117121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15900912867 + ... + 15900922653.

It is an arithmetic number, because the mean of its divisors is an integer number (359210203520).

Almost surely, 2^{155622282117120} is an apocalyptic number.

155622282117120 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 155622282117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344841795379200).

155622282117120 is an abundant number, since it is smaller than the sum of its proper divisors (534061308641280).

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

155622282117120 is an equidigital number, since it uses as much as digits as its factorization.

155622282117120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9928 (or 9896 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 155622282117120 in words is "one hundred fifty-five trillion, six hundred twenty-two billion, two hundred eighty-two million, one hundred seventeen thousand, one hundred twenty".