31861605260160 has 1152 divisors, whose sum is σ = 130053428668800. Its totient is φ = 7429958295552.

The previous prime is 31861605260113. The next prime is 31861605260183. The reversal of 31861605260160 is 6106250616813.

31861605260160 is a `hidden beast` number, since 3 + 1 + 8 + 6 + 1 + 60 + 526 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499342819 + ... + 499406621.

It is an arithmetic number, because the mean of its divisors is an integer number (112893601275).

Almost surely, 2^{31861605260160} is an apocalyptic number.

31861605260160 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 31861605260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65026714334400).

31861605260160 is an abundant number, since it is smaller than the sum of its proper divisors (98191823408640).

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

31861605260160 is a wasteful number, since it uses less digits than its factorization.

31861605260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63882 (or 63845 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

Adding to 31861605260160 its reverse (6106250616813), we get a palindrome (37967855876973).

The spelling of 31861605260160 in words is "thirty-one trillion, eight hundred sixty-one billion, six hundred five million, two hundred sixty thousand, one hundred sixty".