920290250880 has 3072 divisors, whose sum is σ = 4648187980800. Its totient is φ = 161375846400.

The previous prime is 920290250879. The next prime is 920290250903. The reversal of 920290250880 is 88052092029.

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

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, 4018734606 + ... + 4018734834.

It is an arithmetic number, because the mean of its divisors is an integer number (1513082025).

Almost surely, 2^920290250880 is an apocalyptic number.

920290250880 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 920290250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324093990400).

920290250880 is an abundant number, since it is smaller than the sum of its proper divisors (3727897729920).

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

920290250880 is a wasteful number, since it uses less digits than its factorization.

920290250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 920290250880 in words is "nine hundred twenty billion, two hundred ninety million, two hundred fifty thousand, eight hundred eighty".