30059294400 has 294 divisors, whose sum is σ = 110900549852. Its totient is φ = 8015500800.

The previous prime is 30059294399. The next prime is 30059294411. The reversal of 30059294400 is 449295003.

It is a super-2 number, since 2×30059294400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1153515 + ... + 1179285.

Almost surely, 2^30059294400 is an apocalyptic number.

30059294400 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 30059294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55450274926).

30059294400 is an abundant number, since it is smaller than the sum of its proper divisors (80841255452).

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

30059294400 is an equidigital number, since it uses as much as digits as its factorization.

30059294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25811 (or 25781 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 30059294400 in words is "thirty billion, fifty-nine million, two hundred ninety-four thousand, four hundred".