30900897698880 has 448 divisors, whose sum is σ = 116089384239360. Its totient is φ = 6878507827200.

The previous prime is 30900897698873. The next prime is 30900897698927. The reversal of 30900897698880 is 8889679800903.

It is a super-4 number, since 4×30900897698880⁴ (a number of 55 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5261166 + ... + 9459474.

It is an arithmetic number, because the mean of its divisors is an integer number (259128089820).

Almost surely, 2^{30900897698880} is an apocalyptic number.

30900897698880 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 30900897698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58044692119680).

30900897698880 is an abundant number, since it is smaller than the sum of its proper divisors (85188486540480).

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

30900897698880 is a wasteful number, since it uses less digits than its factorization.

30900897698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198398 (or 4198388 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 75.

The spelling of 30900897698880 in words is "thirty trillion, nine hundred billion, eight hundred ninety-seven million, six hundred ninety-eight thousand, eight hundred eighty".