30264412860000 has 1920 divisors, whose sum is σ = 128646274014720. Its totient is φ = 6838272000000.

The previous prime is 30264412859987. The next prime is 30264412860001. The reversal of 30264412860000 is 6821446203.

30264412860000 is a `hidden beast` number, since 3 + 0 + 2 + 6 + 4 + 41 + 2 + 8 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30264412860001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10804858600 + ... + 10804861400.

It is an arithmetic number, because the mean of its divisors is an integer number (67003267716).

Almost surely, 2^{30264412860000} is an apocalyptic number.

30264412860000 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 30264412860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64323137007360).

30264412860000 is an abundant number, since it is smaller than the sum of its proper divisors (98381861154720).

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

30264412860000 is a wasteful number, since it uses less digits than its factorization.

30264412860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 30264412860000 in words is "thirty trillion, two hundred sixty-four billion, four hundred twelve million, eight hundred sixty thousand".