31426560000 has 900 divisors, whose sum is σ = 127750406784. Its totient is φ = 7372800000.

The previous prime is 31426559977. The next prime is 31426560001. The reversal of 31426560000 is 6562413.

31426560000 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 656 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31426560001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1013759985 + ... + 1013760015.

Almost surely, 2^31426560000 is an apocalyptic number.

31426560000 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 31426560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63875203392).

31426560000 is an abundant number, since it is smaller than the sum of its proper divisors (96323846784).

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

31426560000 is an equidigital number, since it uses as much as digits as its factorization.

31426560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 31426560000 in words is "thirty-one billion, four hundred twenty-six million, five hundred sixty thousand".