30750541920 has 432 divisors, whose sum is σ = 126597573648. Its totient is φ = 7028259840.

The previous prime is 30750541901. The next prime is 30750541951. The reversal of 30750541920 is 2914505703.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1897050 + ... + 1913190.

It is an arithmetic number, because the mean of its divisors is an integer number (293049939).

Almost surely, 2^30750541920 is an apocalyptic number.

30750541920 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 30750541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63298786824).

30750541920 is an abundant number, since it is smaller than the sum of its proper divisors (95847031728).

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

30750541920 is a wasteful number, since it uses less digits than its factorization.

30750541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16158 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 30750541920 in words is "thirty billion, seven hundred fifty million, five hundred forty-one thousand, nine hundred twenty".