920281901760 has 1344 divisors, whose sum is σ = 3688335544320. Its totient is φ = 218350080000.

The previous prime is 920281901741. The next prime is 920281901761. The reversal of 920281901760 is 67109182029.

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

It is not an unprimeable number, because it can be changed into a prime (920281901761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3666461635 + ... + 3666461885.

It is an arithmetic number, because the mean of its divisors is an integer number (2744297280).

Almost surely, 2^920281901760 is an apocalyptic number.

920281901760 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 920281901760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844167772160).

920281901760 is an abundant number, since it is smaller than the sum of its proper divisors (2768053642560).

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

920281901760 is a wasteful number, since it uses less digits than its factorization.

920281901760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 920281901760 in words is "nine hundred twenty billion, two hundred eighty-one million, nine hundred one thousand, seven hundred sixty".