30025022400 has 252 divisors, whose sum is σ = 110397417000. Its totient is φ = 7730472960.

The previous prime is 30025022393. The next prime is 30025022437. The reversal of 30025022400 is 422052003.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381651 + ... + 453549.

Almost surely, 2^30025022400 is an apocalyptic number.

30025022400 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 30025022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55198708500).

30025022400 is an abundant number, since it is smaller than the sum of its proper divisors (80372394600).

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

30025022400 is a wasteful number, since it uses less digits than its factorization.

30025022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71956 (or 71938 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 30025022400 its reverse (422052003), we get a palindrome (30447074403).

The spelling of 30025022400 in words is "thirty billion, twenty-five million, twenty-two thousand, four hundred".