30078993724416 has 2640 divisors, whose sum is σ = 120205394084160. Its totient is φ = 7424852262912.

The previous prime is 30078993724361. The next prime is 30078993724477. The reversal of 30078993724416 is 61442739987003.

30078993724416 is a `hidden beast` number, since 3 + 0 + 0 + 78 + 99 + 37 + 2 + 441 + 6 = 666.

It is a super-2 number, since 2×30078993724416² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 362397514711 + ... + 362397514793.

It is an arithmetic number, because the mean of its divisors is an integer number (45532346244).

Almost surely, 2^{30078993724416} is an apocalyptic number.

30078993724416 is a gapful number since it is divisible by the number (36) 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 30078993724416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60102697042080).

30078993724416 is an abundant number, since it is smaller than the sum of its proper divisors (90126400359744).

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

30078993724416 is an equidigital number, since it uses as much as digits as its factorization.

30078993724416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 30078993724416 in words is "thirty trillion, seventy-eight billion, nine hundred ninety-three million, seven hundred twenty-four thousand, four hundred sixteen".