31680051480 has 512 divisors, whose sum is σ = 139408128000. Its totient is φ = 6195363840.

The previous prime is 31680051467. The next prime is 31680051499. The reversal of 31680051480 is 8415008613.

31680051480 is a `hidden beast` number, since 3 + 1 + 68 + 0 + 0 + 514 + 80 = 666.

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

31680051480 is a modest number, since divided by 51480 gives 31680 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1402516 + ... + 1424924.

It is an arithmetic number, because the mean of its divisors is an integer number (272281500).

Almost surely, 2^31680051480 is an apocalyptic number.

31680051480 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 31680051480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69704064000).

31680051480 is an abundant number, since it is smaller than the sum of its proper divisors (107728076520).

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

31680051480 is a wasteful number, since it uses less digits than its factorization.

31680051480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22464 (or 22454 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 31680051480 in words is "thirty-one billion, six hundred eighty million, fifty-one thousand, four hundred eighty".