30960471908352 has 224 divisors, whose sum is σ = 94364047983744. Its totient is φ = 8844528844800.

The previous prime is 30960471908309. The next prime is 30960471908411. The reversal of 30960471908352 is 25380917406903.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 30960471908292 and 30960471908301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2198733952 + ... + 2198748032.

It is an arithmetic number, because the mean of its divisors is an integer number (421268071356).

It is a 1-persistent number, because it is pandigital, but 2⋅30960471908352 = 61920943816704 is not.

Almost surely, 2^{30960471908352} is an apocalyptic number.

30960471908352 is a gapful number since it is divisible by the number (32) 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 30960471908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47182023991872).

30960471908352 is an abundant number, since it is smaller than the sum of its proper divisors (63403576075392).

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

30960471908352 is a wasteful number, since it uses less digits than its factorization.

30960471908352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26898 (or 26874 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 30960471908352 in words is "thirty trillion, nine hundred sixty billion, four hundred seventy-one million, nine hundred eight thousand, three hundred fifty-two".