871292911680 has 448 divisors, whose sum is σ = 3119084236800. Its totient is φ = 228931614720.

The previous prime is 871292911651. The next prime is 871292911681. The reversal of 871292911680 is 86119292178.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (871292911681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309077311 + ... + 309080129.

It is an arithmetic number, because the mean of its divisors is an integer number (6962241600).

Almost surely, 2^871292911680 is an apocalyptic number.

871292911680 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 871292911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559542118400).

871292911680 is an abundant number, since it is smaller than the sum of its proper divisors (2247791325120).

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

871292911680 is a wasteful number, since it uses less digits than its factorization.

871292911680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 871292911680 in words is "eight hundred seventy-one billion, two hundred ninety-two million, nine hundred eleven thousand, six hundred eighty".