31054068840960 has 1440 divisors, whose sum is σ = 127832286067200. Its totient is φ = 6901338931200.

The previous prime is 31054068840943. The next prime is 31054068840983. The reversal of 31054068840960 is 6904886045013.

31054068840960 is a `hidden beast` number, since 3 + 1 + 0 + 540 + 6 + 8 + 8 + 4 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a junction number, because it is equal to n+sod(n) for n = 31054068840897 and 31054068840906.

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, 2836241566 + ... + 2836252514.

It is an arithmetic number, because the mean of its divisors is an integer number (88772420880).

Almost surely, 2^{31054068840960} is an apocalyptic number.

31054068840960 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 31054068840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63916143033600).

31054068840960 is an abundant number, since it is smaller than the sum of its proper divisors (96778217226240).

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

31054068840960 is a wasteful number, since it uses less digits than its factorization.

31054068840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11058 (or 11020 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 31054068840960 in words is "thirty-one trillion, fifty-four billion, sixty-eight million, eight hundred forty thousand, nine hundred sixty".