30113856000000 has 1820 divisors, whose sum is σ = 116221763201764. Its totient is φ = 7763558400000.

The previous prime is 30113855999897. The next prime is 30113856000001. The reversal of 30113856000000 is 65831103.

It can be written as a sum of positive squares in 14 ways, for example, as 27401958457344 + 2711897542656 = 5234688^2 + 1646784^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30113856000001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 191807999922 + ... + 191808000078.

Almost surely, 2^{30113856000000} is an apocalyptic number.

30113856000000 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 30113856000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58110881600882).

30113856000000 is an abundant number, since it is smaller than the sum of its proper divisors (86107907201764).

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

30113856000000 is an frugal number, since it uses more digits than its factorization.

30113856000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 30113856000000 in words is "thirty trillion, one hundred thirteen billion, eight hundred fifty-six million", and thus it is an aban number.