30877898920128 has 672 divisors, whose sum is σ = 99573336844800. Its totient is φ = 9084239216640.

The previous prime is 30877898920093. The next prime is 30877898920147. The reversal of 30877898920128 is 82102989877803.

30877898920128 is a `hidden beast` number, since 308 + 7 + 7 + 8 + 98 + 9 + 201 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9154430250 + ... + 9154433622.

It is an arithmetic number, because the mean of its divisors is an integer number (148174608400).

Almost surely, 2^{30877898920128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30877898920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49786668422400).

30877898920128 is an abundant number, since it is smaller than the sum of its proper divisors (68695437924672).

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

30877898920128 is a wasteful number, since it uses less digits than its factorization.

30877898920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 30877898920128 in words is "thirty trillion, eight hundred seventy-seven billion, eight hundred ninety-eight million, nine hundred twenty thousand, one hundred twenty-eight".