8971240561920 has 3240 divisors, whose sum is σ = 41545689314976. Its totient is φ = 1848813797376.

The previous prime is 8971240561883. The next prime is 8971240561957. The reversal of 8971240561920 is 291650421798.

It is a happy number.

8971240561920 is a `hidden beast` number, since 8 + 9 + 7 + 12 + 4 + 0 + 5 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8971240561883) and next prime (8971240561957).

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 208633501419 + ... + 208633501461.

Almost surely, 2^{8971240561920} is an apocalyptic number.

8971240561920 is a gapful number since it is divisible by the number (80) 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 8971240561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20772844657488).

8971240561920 is an abundant number, since it is smaller than the sum of its proper divisors (32574448753056).

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

8971240561920 is an frugal number, since it uses more digits than its factorization.

8971240561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 8971240561920 in words is "eight trillion, nine hundred seventy-one billion, two hundred forty million, five hundred sixty-one thousand, nine hundred twenty".