30857448960 has 400 divisors, whose sum is σ = 119033693856. Its totient is φ = 7595016192.

The previous prime is 30857448943. The next prime is 30857448967. The reversal of 30857448960 is 6984475803.

30857448960 is a `hidden beast` number, since 3 + 0 + 8 + 574 + 4 + 8 + 9 + 60 = 666.

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 = 30857448897 and 30857448906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30857448967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2689957 + ... + 2701403.

Almost surely, 2^30857448960 is an apocalyptic number.

30857448960 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 30857448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59516846928).

30857448960 is an abundant number, since it is smaller than the sum of its proper divisors (88176244896).

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

30857448960 is a wasteful number, since it uses less digits than its factorization.

30857448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11495 (or 11470 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 30857448960 in words is "thirty billion, eight hundred fifty-seven million, four hundred forty-eight thousand, nine hundred sixty".