918825878880 has 1728 divisors, whose sum is σ = 4066448375808. Its totient is φ = 184772689920.

The previous prime is 918825878869. The next prime is 918825878891. The reversal of 918825878880 is 88878528819.

It is an interprime number because it is at equal distance from previous prime (918825878869) and next prime (918825878891).

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

It is a junction number, because it is equal to n+sod(n) for n = 918825878799 and 918825878808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6706758172 + ... + 6706758308.

It is an arithmetic number, because the mean of its divisors is an integer number (2353268736).

Almost surely, 2^918825878880 is an apocalyptic number.

918825878880 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 918825878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033224187904).

918825878880 is an abundant number, since it is smaller than the sum of its proper divisors (3147622496928).

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

918825878880 is a wasteful number, since it uses less digits than its factorization.

918825878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 72.

The spelling of 918825878880 in words is "nine hundred eighteen billion, eight hundred twenty-five million, eight hundred seventy-eight thousand, eight hundred eighty".