9872470460160 has 3240 divisors, whose sum is σ = 47260915621920. Its totient is φ = 1925787156480.

The previous prime is 9872470460131. The next prime is 9872470460213. The reversal of 9872470460160 is 610640742789.

9872470460160 is a `hidden beast` number, since 9 + 8 + 7 + 2 + 470 + 4 + 6 + 0 + 160 = 666.

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 junction number, because it is equal to n+sod(n) for n = 9872470460097 and 9872470460106.

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, 25379101246 + ... + 25379101634.

Almost surely, 2^{9872470460160} is an apocalyptic number.

9872470460160 is a gapful number since it is divisible by the number (90) 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 9872470460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630457810960).

9872470460160 is an abundant number, since it is smaller than the sum of its proper divisors (37388445161760).

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

9872470460160 is a wasteful number, since it uses less digits than its factorization.

9872470460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 9872470460160 in words is "nine trillion, eight hundred seventy-two billion, four hundred seventy million, four hundred sixty thousand, one hundred sixty".