873423682560 has 2816 divisors, whose sum is σ = 4064685649920. Its totient is φ = 174399160320.

The previous prime is 873423682559. The next prime is 873423682561. The reversal of 873423682560 is 65286324378.

873423682560 is a `hidden beast` number, since 8 + 7 + 3 + 42 + 36 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (873423682559) and next prime (873423682561).

It is a tau number, because it is divible by the number of its divisors (2816).

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 = 873423682497 and 873423682506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873423682561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7729413064 + ... + 7729413176.

Almost surely, 2^873423682560 is an apocalyptic number.

873423682560 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 873423682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032342824960).

873423682560 is an abundant number, since it is smaller than the sum of its proper divisors (3191261967360).

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

873423682560 is a wasteful number, since it uses less digits than its factorization.

873423682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 873423682560 in words is "eight hundred seventy-three billion, four hundred twenty-three million, six hundred eighty-two thousand, five hundred sixty".