31855380480000 has 2700 divisors, whose sum is σ = 145539650928672. Its totient is φ = 6520504320000.

The previous prime is 31855380479987. The next prime is 31855380480061. The reversal of 31855380480000 is 8408355813.

31855380480000 is a `hidden beast` number, since 3 + 18 + 553 + 8 + 0 + 4 + 80 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 475453439967 + ... + 475453440033.

Almost surely, 2^{31855380480000} is an apocalyptic number.

31855380480000 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 31855380480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72769825464336).

31855380480000 is an abundant number, since it is smaller than the sum of its proper divisors (113684270448672).

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

31855380480000 is an frugal number, since it uses more digits than its factorization.

31855380480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 31855380480000 in words is "thirty-one trillion, eight hundred fifty-five billion, three hundred eighty million, four hundred eighty thousand".