30590006400 has 864 divisors, whose sum is σ = 119490209280. Its totient is φ = 7726233600.

The previous prime is 30590006387. The next prime is 30590006429. The reversal of 30590006400 is 460009503.

It is a happy number.

30590006400 is a `hidden beast` number, since 30 + 590 + 0 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 650851177 + ... + 650851223.

Almost surely, 2^30590006400 is an apocalyptic number.

30590006400 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 30590006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59745104640).

30590006400 is an abundant number, since it is smaller than the sum of its proper divisors (88900202880).

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

30590006400 is an frugal number, since it uses more digits than its factorization.

30590006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 30590006400 in words is "thirty billion, five hundred ninety million, six thousand, four hundred".