30160010400 has 864 divisors, whose sum is σ = 114870897792. Its totient is φ = 6853017600.

The previous prime is 30160010381. The next prime is 30160010431. The reversal of 30160010400 is 401006103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30160010400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 494426370 + ... + 494426430.

It is an arithmetic number, because the mean of its divisors is an integer number (132952428).

Almost surely, 2^30160010400 is an apocalyptic number.

30160010400 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 30160010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57435448896).

30160010400 is an abundant number, since it is smaller than the sum of its proper divisors (84710887392).

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

30160010400 is a wasteful number, since it uses less digits than its factorization.

30160010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30160010400 its reverse (401006103), we get a palindrome (30561016503).

The spelling of 30160010400 in words is "thirty billion, one hundred sixty million, ten thousand, four hundred".