920685986777088 has 768 divisors, whose sum is σ = 3168379049472000. Its totient is φ = 258742345531392.

The previous prime is 920685986777069. The next prime is 920685986777189. The reversal of 920685986777088 is 880777689586029.

920685986777088 is a `hidden beast` number, since 9 + 2 + 0 + 6 + 8 + 598 + 6 + 7 + 7 + 7 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 920685986776989 and 920685986777007.

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 63 ways as a sum of consecutive naturals, for example, 6119920173 + ... + 6120070611.

It is an arithmetic number, because the mean of its divisors is an integer number (4125493554000).

Almost surely, 2^{920685986777088} 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 920685986777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584189524736000).

920685986777088 is an abundant number, since it is smaller than the sum of its proper divisors (2247693062694912).

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

920685986777088 is a wasteful number, since it uses less digits than its factorization.

920685986777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150737 (or 150711 counting only the distinct ones).

The product of its (nonzero) digits is 40967700480, while the sum is 90.

The spelling of 920685986777088 in words is "nine hundred twenty trillion, six hundred eighty-five billion, nine hundred eighty-six million, seven hundred seventy-seven thousand, eighty-eight".