30019550400 has 672 divisors, whose sum is σ = 128493601280. Its totient is φ = 6673674240.

The previous prime is 30019550359. The next prime is 30019550413. The reversal of 30019550400 is 405591003.

It is a tau number, because it is divible by the number of its divisors (672).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11187459 + ... + 11190141.

Almost surely, 2^30019550400 is an apocalyptic number.

30019550400 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 30019550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64246800640).

30019550400 is an abundant number, since it is smaller than the sum of its proper divisors (98474050880).

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

30019550400 is a wasteful number, since it uses less digits than its factorization.

30019550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 30019550400 in words is "thirty billion, nineteen million, five hundred fifty thousand, four hundred".