31774984560 has 400 divisors, whose sum is σ = 120992256000. Its totient is φ = 7664647680.

The previous prime is 31774984559. The next prime is 31774984601. The reversal of 31774984560 is 6548947713.

31774984560 is a `hidden beast` number, since 3 + 1 + 7 + 74 + 9 + 8 + 4 + 560 = 666.

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

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 31774984497 and 31774984506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15894441 + ... + 15896439.

It is an arithmetic number, because the mean of its divisors is an integer number (302480640).

Almost surely, 2^31774984560 is an apocalyptic number.

31774984560 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 31774984560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496128000).

31774984560 is an abundant number, since it is smaller than the sum of its proper divisors (89217271440).

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

31774984560 is a wasteful number, since it uses less digits than its factorization.

31774984560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 31774984560 in words is "thirty-one billion, seven hundred seventy-four million, nine hundred eighty-four thousand, five hundred sixty".