31648320000 has 1200 divisors, whose sum is σ = 132615074592. Its totient is φ = 7464960000.

The previous prime is 31648319993. The next prime is 31648320047. The reversal of 31648320000 is 2384613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 855359982 + ... + 855360018.

Almost surely, 2^31648320000 is an apocalyptic number.

31648320000 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 31648320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66307537296).

31648320000 is an abundant number, since it is smaller than the sum of its proper divisors (100966754592).

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

31648320000 is an frugal number, since it uses more digits than its factorization.

31648320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 31648320000 in words is "thirty-one billion, six hundred forty-eight million, three hundred twenty thousand".