920388268800 has 3456 divisors, whose sum is σ = 4813311928320. Its totient is φ = 165622579200.

The previous prime is 920388268759. The next prime is 920388268823. The reversal of 920388268800 is 8862883029.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×920388268800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2940537444 + ... + 2940537756.

It is an arithmetic number, because the mean of its divisors is an integer number (1392740720).

Almost surely, 2^920388268800 is an apocalyptic number.

920388268800 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 920388268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2406655964160).

920388268800 is an abundant number, since it is smaller than the sum of its proper divisors (3892923659520).

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

920388268800 is a wasteful number, since it uses less digits than its factorization.

920388268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 920388268800 in words is "nine hundred twenty billion, three hundred eighty-eight million, two hundred sixty-eight thousand, eight hundred".