30797361866880 has 1152 divisors, whose sum is σ = 125185559616000. Its totient is φ = 6955780866048.

The previous prime is 30797361866863. The next prime is 30797361866959. The reversal of 30797361866880 is 8866816379703.

30797361866880 is a `hidden beast` number, since 307 + 9 + 7 + 3 + 6 + 186 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 30797361866799 and 30797361866808.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14465645656 + ... + 14465647784.

It is an arithmetic number, because the mean of its divisors is an integer number (108668020500).

Almost surely, 2^{30797361866880} is an apocalyptic number.

30797361866880 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 30797361866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62592779808000).

30797361866880 is an abundant number, since it is smaller than the sum of its proper divisors (94388197749120).

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

30797361866880 is a wasteful number, since it uses less digits than its factorization.

30797361866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 30797361866880 in words is "thirty trillion, seven hundred ninety-seven billion, three hundred sixty-one million, eight hundred sixty-six thousand, eight hundred eighty".