1022505931920 has 1280 divisors, whose sum is σ = 4067945349120. Its totient is φ = 209085235200.

The previous prime is 1022505931897. The next prime is 1022505931933. The reversal of 1022505931920 is 291395052201.

It is a super-3 number, since 3×1022505931920³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1242412629 + ... + 1242413451.

It is an arithmetic number, because the mean of its divisors is an integer number (3178082304).

Almost surely, 2^{1022505931920} is an apocalyptic number.

1022505931920 is a gapful number since it is divisible by the number (10) 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 1022505931920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033972674560).

1022505931920 is an abundant number, since it is smaller than the sum of its proper divisors (3045439417200).

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

1022505931920 is a wasteful number, since it uses less digits than its factorization.

1022505931920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The spelling of 1022505931920 in words is "one trillion, twenty-two billion, five hundred five million, nine hundred thirty-one thousand, nine hundred twenty".