31485689988480 has 2560 divisors, whose sum is σ = 141375694521600. Its totient is φ = 6540021596160.

The previous prime is 31485689988463. The next prime is 31485689988499. The reversal of 31485689988480 is 8488998658413.

31485689988480 is a `hidden beast` number, since 3 + 1 + 4 + 8 + 56 + 8 + 9 + 9 + 88 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 31485689988480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 58199057010 + ... + 58199057550.

Almost surely, 2^{31485689988480} is an apocalyptic number.

31485689988480 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 31485689988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70687847260800).

31485689988480 is an abundant number, since it is smaller than the sum of its proper divisors (109890004533120).

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

31485689988480 is an equidigital number, since it uses as much as digits as its factorization.

31485689988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3822059520, while the sum is 81.

The spelling of 31485689988480 in words is "thirty-one trillion, four hundred eighty-five billion, six hundred eighty-nine million, nine hundred eighty-eight thousand, four hundred eighty".