31666460206080 has 2112 divisors, whose sum is σ = 128893816477440. Its totient is φ = 6592288260096.

The previous prime is 31666460206063. The next prime is 31666460206109. The reversal of 31666460206080 is 8060206466613.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51323273932 + ... + 51323274548.

Almost surely, 2^{31666460206080} is an apocalyptic number.

31666460206080 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 31666460206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64446908238720).

31666460206080 is an abundant number, since it is smaller than the sum of its proper divisors (97227356271360).

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

31666460206080 is a wasteful number, since it uses less digits than its factorization.

31666460206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 31666460206080 in words is "thirty-one trillion, six hundred sixty-six billion, four hundred sixty million, two hundred six thousand, eighty".