30488173148160 has 2688 divisors, whose sum is σ = 138754035987840. Its totient is φ = 6253653786624.

The previous prime is 30488173148107. The next prime is 30488173148203. The reversal of 30488173148160 is 6184137188403.

30488173148160 is a `hidden beast` number, since 3 + 0 + 488 + 1 + 7 + 3 + 148 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×30488173148160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 30488173148097 and 30488173148106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25134519714 + ... + 25134520926.

It is an arithmetic number, because the mean of its divisors is an integer number (51619805055).

Almost surely, 2^{30488173148160} is an apocalyptic number.

30488173148160 is a gapful number since it is divisible by the number (30) 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 30488173148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69377017993920).

30488173148160 is an abundant number, since it is smaller than the sum of its proper divisors (108265862839680).

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

30488173148160 is a wasteful number, since it uses less digits than its factorization.

30488173148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 30488173148160 in words is "thirty trillion, four hundred eighty-eight billion, one hundred seventy-three million, one hundred forty-eight thousand, one hundred sixty".