31668142560 has 48 divisors (see below), whose sum is σ = 99754650576. Its totient is φ = 8444837888.

The previous prime is 31668142547. The next prime is 31668142573. The reversal of 31668142560 is 6524186613.

It is an interprime number because it is at equal distance from previous prime (31668142547) and next prime (31668142573).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32987169 + ... + 32988128.

It is an arithmetic number, because the mean of its divisors is an integer number (2078221887).

Almost surely, 2^31668142560 is an apocalyptic number.

31668142560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31668142560 is an abundant number, since it is smaller than the sum of its proper divisors (68086508016).

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

31668142560 is a wasteful number, since it uses less digits than its factorization.

31668142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65975315 (or 65975307 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 31668142560 in words is "thirty-one billion, six hundred sixty-eight million, one hundred forty-two thousand, five hundred sixty".