920038268160 has 864 divisors, whose sum is σ = 3616882004736. Its totient is φ = 213958656000.

The previous prime is 920038268137. The next prime is 920038268173. The reversal of 920038268160 is 61862830029.

920038268160 is a `hidden beast` number, since 9 + 200 + 382 + 6 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 316925269 + ... + 316928171.

It is an arithmetic number, because the mean of its divisors is an integer number (4186206024).

Almost surely, 2^920038268160 is an apocalyptic number.

920038268160 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 920038268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808441002368).

920038268160 is an abundant number, since it is smaller than the sum of its proper divisors (2696843736576).

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

920038268160 is a wasteful number, since it uses less digits than its factorization.

920038268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 920038268160 in words is "nine hundred twenty billion, thirty-eight million, two hundred sixty-eight thousand, one hundred sixty".