30826560000 has 400 divisors, whose sum is σ = 103775706144. Its totient is φ = 8128512000.

The previous prime is 30826559977. The next prime is 30826560043. The reversal of 30826560000 is 6562803.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 30826560000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156479902 + ... + 156480098.

Almost surely, 2^30826560000 is an apocalyptic number.

30826560000 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 30826560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51887853072).

30826560000 is an abundant number, since it is smaller than the sum of its proper divisors (72949146144).

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

30826560000 is an equidigital number, since it uses as much as digits as its factorization.

30826560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 30826560000 in words is "thirty billion, eight hundred twenty-six million, five hundred sixty thousand".