30870211680 has 864 divisors, whose sum is σ = 138103999488. Its totient is φ = 6202828800.

The previous prime is 30870211661. The next prime is 30870211709. The reversal of 30870211680 is 8611207803.

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

It is a congruent number.

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, 24060319 + ... + 24061601.

It is an arithmetic number, because the mean of its divisors is an integer number (159842592).

Almost surely, 2^30870211680 is an apocalyptic number.

30870211680 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 30870211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69051999744).

30870211680 is an abundant number, since it is smaller than the sum of its proper divisors (107233787808).

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

30870211680 is a wasteful number, since it uses less digits than its factorization.

30870211680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 30870211680 in words is "thirty billion, eight hundred seventy million, two hundred eleven thousand, six hundred eighty".