30945957000 has 256 divisors, whose sum is σ = 110530068480. Its totient is φ = 7061472000.

The previous prime is 30945956989. The next prime is 30945957023. The reversal of 30945957000 is 75954903.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20810257 + ... + 20811743.

It is an arithmetic number, because the mean of its divisors is an integer number (431758080).

Almost surely, 2^30945957000 is an apocalyptic number.

30945957000 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 30945957000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55265034240).

30945957000 is an abundant number, since it is smaller than the sum of its proper divisors (79584111480).

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

30945957000 is a wasteful number, since it uses less digits than its factorization.

30945957000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 30945957000 in words is "thirty billion, nine hundred forty-five million, nine hundred fifty-seven thousand".