9871511040 has 640 divisors, whose sum is σ = 38466109440. Its totient is φ = 2388787200.

The previous prime is 9871510997. The next prime is 9871511053. The reversal of 9871511040 is 401151789.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9871510986 and 9871511004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36426105 + ... + 36426375.

It is an arithmetic number, because the mean of its divisors is an integer number (60103296).

Almost surely, 2^9871511040 is an apocalyptic number.

9871511040 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 9871511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19233054720).

9871511040 is an abundant number, since it is smaller than the sum of its proper divisors (28594598400).

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

9871511040 is a wasteful number, since it uses less digits than its factorization.

9871511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 9871511040 is about 99355.4781579758. The cubic root of 9871511040 is about 2145.1675158919.

The spelling of 9871511040 in words is "nine billion, eight hundred seventy-one million, five hundred eleven thousand, forty".