31488998420880 has 960 divisors, whose sum is σ = 143784317214720. Its totient is φ = 5963383296000.

The previous prime is 31488998420839. The next prime is 31488998420917. The reversal of 31488998420880 is 8802489988413.

31488998420880 is a `hidden beast` number, since 3 + 1 + 48 + 89 + 9 + 8 + 420 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 31488998420799 and 31488998420808.

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 191 ways as a sum of consecutive naturals, for example, 56660355 + ... + 57213405.

It is an arithmetic number, because the mean of its divisors is an integer number (149775330432).

Almost surely, 2^{31488998420880} is an apocalyptic number.

31488998420880 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 31488998420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71892158607360).

31488998420880 is an abundant number, since it is smaller than the sum of its proper divisors (112295318793840).

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

31488998420880 is a wasteful number, since it uses less digits than its factorization.

31488998420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553180 (or 553171 counting only the distinct ones).

The product of its (nonzero) digits is 254803968, while the sum is 72.

The spelling of 31488998420880 in words is "thirty-one trillion, four hundred eighty-eight billion, nine hundred ninety-eight million, four hundred twenty thousand, eight hundred eighty".