30250542400 has 168 divisors, whose sum is σ = 80317288184. Its totient is φ = 11147673600.

The previous prime is 30250542383. The next prime is 30250542433. The reversal of 30250542400 is 424505203.

It can be written as a sum of positive squares in 12 ways, for example, as 14174331136 + 16076211264 = 119056^2 + 126792^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13997320 + ... + 13999480.

Almost surely, 2^30250542400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30250542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158644092).

30250542400 is an abundant number, since it is smaller than the sum of its proper divisors (50066745784).

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

30250542400 is a wasteful number, since it uses less digits than its factorization.

30250542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 30250542400 in words is "thirty billion, two hundred fifty million, five hundred forty-two thousand, four hundred".