30119738880 has 960 divisors, whose sum is σ = 126386625024. Its totient is φ = 5942476800.

The previous prime is 30119738867. The next prime is 30119738881. The reversal of 30119738880 is 8883791103.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30119738881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 568296934 + ... + 568296986.

Almost surely, 2^30119738880 is an apocalyptic number.

30119738880 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 30119738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63193312512).

30119738880 is an abundant number, since it is smaller than the sum of its proper divisors (96266886144).

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

30119738880 is a wasteful number, since it uses less digits than its factorization.

30119738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 30119738880 in words is "thirty billion, one hundred nineteen million, seven hundred thirty-eight thousand, eight hundred eighty".