30072993888 has 192 divisors, whose sum is σ = 95091978240. Its totient is φ = 8129382912.

The previous prime is 30072993883. The next prime is 30072993919. The reversal of 30072993888 is 88839927003.

It is a super-2 number, since 2×30072993888² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30072993883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17452995 + ... + 17454717.

It is an arithmetic number, because the mean of its divisors is an integer number (495270720).

Almost surely, 2^30072993888 is an apocalyptic number.

30072993888 is a gapful number since it is divisible by the number (38) 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 30072993888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47545989120).

30072993888 is an abundant number, since it is smaller than the sum of its proper divisors (65018984352).

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

30072993888 is a wasteful number, since it uses less digits than its factorization.

30072993888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3129 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 30072993888 in words is "thirty billion, seventy-two million, nine hundred ninety-three thousand, eight hundred eighty-eight".