30497608028160 has 5200 divisors, whose sum is σ = 149243238735360. Its totient is φ = 5899348869120.

The previous prime is 30497608028113. The next prime is 30497608028189. The reversal of 30497608028160 is 6182080679403.

30497608028160 is a `hidden beast` number, since 3 + 0 + 4 + 9 + 7 + 608 + 0 + 28 + 1 + 6 + 0 = 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 = 30497608028097 and 30497608028106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 983793807345 + ... + 983793807375.

Almost surely, 2^{30497608028160} is an apocalyptic number.

30497608028160 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 30497608028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74621619367680).

30497608028160 is an abundant number, since it is smaller than the sum of its proper divisors (118745630707200).

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

30497608028160 is an equidigital number, since it uses as much as digits as its factorization.

30497608028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 30497608028160 in words is "thirty trillion, four hundred ninety-seven billion, six hundred eight million, twenty-eight thousand, one hundred sixty".