30606989952 has 768 divisors, whose sum is σ = 111740428800. Its totient is φ = 7315660800.

The previous prime is 30606989951. The next prime is 30606989969. The reversal of 30606989952 is 25998960603.

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

It is a junction number, because it is equal to n+sod(n) for n = 30606989892 and 30606989901.

It is not an unprimeable number, because it can be changed into a prime (30606989951) 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, 169099302 + ... + 169099482.

It is an arithmetic number, because the mean of its divisors is an integer number (145495350).

Almost surely, 2^30606989952 is an apocalyptic number.

30606989952 is a gapful number since it is divisible by the number (32) 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 30606989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55870214400).

30606989952 is an abundant number, since it is smaller than the sum of its proper divisors (81133438848).

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

30606989952 is a wasteful number, since it uses less digits than its factorization.

30606989952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 30606989952 in words is "thirty billion, six hundred six million, nine hundred eighty-nine thousand, nine hundred fifty-two".