1971105570540 has 96 divisors (see below), whose sum is σ = 6132827574720. Its totient is φ = 525585369600.

The previous prime is 1971105570431. The next prime is 1971105570541. The reversal of 1971105570540 is 450755011791.

1971105570540 is a `hidden beast` number, since 1 + 9 + 71 + 1 + 0 + 5 + 570 + 5 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1971105570541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6792010 + ... + 7076270.

It is an arithmetic number, because the mean of its divisors is an integer number (63883620570).

Almost surely, 2^{1971105570540} is an apocalyptic number.

1971105570540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1971105570540 is an abundant number, since it is smaller than the sum of its proper divisors (4161722004180).

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

1971105570540 is a wasteful number, since it uses less digits than its factorization.

1971105570540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297120 (or 297112 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 45.

The spelling of 1971105570540 in words is "one trillion, nine hundred seventy-one billion, one hundred five million, five hundred seventy thousand, five hundred forty".