31987327680 has 1680 divisors, whose sum is σ = 150686097408. Its totient is φ = 6295449600.

The previous prime is 31987327679. The next prime is 31987327703. The reversal of 31987327680 is 8672378913.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 680581417 + ... + 680581463.

Almost surely, 2^31987327680 is an apocalyptic number.

31987327680 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 31987327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75343048704).

31987327680 is an abundant number, since it is smaller than the sum of its proper divisors (118698769728).

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

31987327680 is a wasteful number, since it uses less digits than its factorization.

31987327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 31987327680 in words is "thirty-one billion, nine hundred eighty-seven million, three hundred twenty-seven thousand, six hundred eighty".