30554798400 has 672 divisors, whose sum is σ = 129007616000. Its totient is φ = 6890158080.

The previous prime is 30554798369. The next prime is 30554798423. The reversal of 30554798400 is 489745503.

30554798400 is a `hidden beast` number, since 3 + 0 + 554 + 7 + 98 + 4 + 0 + 0 = 666.

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 (45).

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, 23888961 + ... + 23890239.

Almost surely, 2^30554798400 is an apocalyptic number.

30554798400 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 30554798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64503808000).

30554798400 is an abundant number, since it is smaller than the sum of its proper divisors (98452817600).

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

30554798400 is a wasteful number, since it uses less digits than its factorization.

30554798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 30554798400 in words is "thirty billion, five hundred fifty-four million, seven hundred ninety-eight thousand, four hundred".