871961739264 has 1800 divisors, whose sum is σ = 3514658672448. Its totient is φ = 212548976640.

The previous prime is 871961739263. The next prime is 871961739277. The reversal of 871961739264 is 462937169178.

871961739264 is a `hidden beast` number, since 8 + 7 + 1 + 9 + 617 + 3 + 9 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (871961739263) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16452108262 + ... + 16452108314.

Almost surely, 2^871961739264 is an apocalyptic number.

871961739264 is a gapful number since it is divisible by the number (84) 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 871961739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757329336224).

871961739264 is an abundant number, since it is smaller than the sum of its proper divisors (2642696933184).

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

871961739264 is a wasteful number, since it uses less digits than its factorization.

871961739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 99 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 871961739264 in words is "eight hundred seventy-one billion, nine hundred sixty-one million, seven hundred thirty-nine thousand, two hundred sixty-four".