30269985120 has 576 divisors, whose sum is σ = 116293859136. Its totient is φ = 7405240320.

The previous prime is 30269985101. The next prime is 30269985131. The reversal of 30269985120 is 2158996203.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27098802 + ... + 27099918.

It is an arithmetic number, because the mean of its divisors is an integer number (201899061).

Almost surely, 2^30269985120 is an apocalyptic number.

30269985120 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 30269985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58146929568).

30269985120 is an abundant number, since it is smaller than the sum of its proper divisors (86023874016).

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

30269985120 is a wasteful number, since it uses less digits than its factorization.

30269985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 30269985120 in words is "thirty billion, two hundred sixty-nine million, nine hundred eighty-five thousand, one hundred twenty".