31660761600000 has 2808 divisors, whose sum is σ = 132238430808120. Its totient is φ = 7524679680000.

The previous prime is 31660761599989. The next prime is 31660761600011. The reversal of 31660761600000 is 616706613.

31660761600000 is a `hidden beast` number, since 31 + 6 + 6 + 0 + 7 + 616 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31660761599989) and next prime (31660761600011).

It can be written as a sum of positive squares in 12 ways, for example, as 30998347923456 + 662413676544 = 5567616^2 + 813888^2 .

It is a tau number, because it is divible by the number of its divisors (2808).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1091750399986 + ... + 1091750400014.

It is an arithmetic number, because the mean of its divisors is an integer number (47093458265).

Almost surely, 2^{31660761600000} is an apocalyptic number.

31660761600000 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 31660761600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66119215404060).

31660761600000 is an abundant number, since it is smaller than the sum of its proper divisors (100577669208120).

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

31660761600000 is an frugal number, since it uses more digits than its factorization.

31660761600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 31660761600000 in words is "thirty-one trillion, six hundred sixty billion, seven hundred sixty-one million, six hundred thousand".