871993950265152 has 2688 divisors, whose sum is σ = 3214093164871680. Its totient is φ = 222103461888000.

The previous prime is 871993950265129. The next prime is 871993950265303. The reversal of 871993950265152 is 251562059399178.

871993950265152 is a `hidden beast` number, since 8 + 7 + 1 + 9 + 9 + 3 + 9 + 502 + 65 + 1 + 52 = 666.

It is a super-2 number, since 2×871993950265152² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 860803504198 + ... + 860803505210.

It is an arithmetic number, because the mean of its divisors is an integer number (1195719183360).

Almost surely, 2^{871993950265152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871993950265152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607046582435840).

871993950265152 is an abundant number, since it is smaller than the sum of its proper divisors (2342099214606528).

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

871993950265152 is a wasteful number, since it uses less digits than its factorization.

871993950265152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 72.

The spelling of 871993950265152 in words is "eight hundred seventy-one trillion, nine hundred ninety-three billion, nine hundred fifty million, two hundred sixty-five thousand, one hundred fifty-two".