1712116764540 has 1152 divisors, whose sum is σ = 7059702988800. Its totient is φ = 340491755520.

The previous prime is 1712116764539. The next prime is 1712116764551. The reversal of 1712116764540 is 454676112171.

1712116764540 is a `hidden beast` number, since 1 + 7 + 1 + 21 + 16 + 76 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1575083877 + ... + 1575084963.

It is an arithmetic number, because the mean of its divisors is an integer number (6128214400).

Almost surely, 2^{1712116764540} is an apocalyptic number.

1712116764540 is a gapful number since it is divisible by the number (10) 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 1712116764540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529851494400).

1712116764540 is an abundant number, since it is smaller than the sum of its proper divisors (5347586224260).

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

1712116764540 is a wasteful number, since it uses less digits than its factorization.

1712116764540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 1712116764540 in words is "one trillion, seven hundred twelve billion, one hundred sixteen million, seven hundred sixty-four thousand, five hundred forty".