30855595680 has 1728 divisors, whose sum is σ = 149986287360. Its totient is φ = 5804752896.

The previous prime is 30855595669. The next prime is 30855595709. The reversal of 30855595680 is 8659555803.

30855595680 is a `hidden beast` number, since 3 + 0 + 8 + 5 + 559 + 5 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3978 × 3078 × 2520.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1623978711 + ... + 1623978729.

It is an arithmetic number, because the mean of its divisors is an integer number (86797620).

Almost surely, 2^30855595680 is an apocalyptic number.

30855595680 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 30855595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74993143680).

30855595680 is an abundant number, since it is smaller than the sum of its proper divisors (119130691680).

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

30855595680 is a wasteful number, since it uses less digits than its factorization.

30855595680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 30855595680 in words is "thirty billion, eight hundred fifty-five million, five hundred ninety-five thousand, six hundred eighty".