30057125645952 has 512 divisors, whose sum is σ = 94874139648000. Its totient is φ = 9346056597504.

The previous prime is 30057125645923. The next prime is 30057125645969. The reversal of 30057125645952 is 25954652175003.

30057125645952 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 71 + 2 + 564 + 5 + 9 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1057255674 + ... + 1057284102.

It is an arithmetic number, because the mean of its divisors is an integer number (185301054000).

Almost surely, 2^{30057125645952} is an apocalyptic number.

30057125645952 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 30057125645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47437069824000).

30057125645952 is an abundant number, since it is smaller than the sum of its proper divisors (64817014002048).

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

30057125645952 is a wasteful number, since it uses less digits than its factorization.

30057125645952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28805 (or 28787 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 30057125645952 in words is "thirty trillion, fifty-seven billion, one hundred twenty-five million, six hundred forty-five thousand, nine hundred fifty-two".