1022250185460 has 480 divisors, whose sum is σ = 3901268448000. Its totient is φ = 218868148224.

The previous prime is 1022250185443. The next prime is 1022250185491. The reversal of 1022250185460 is 645810522201.

1022250185460 is a `hidden beast` number, since 10 + 2 + 2 + 2 + 5 + 0 + 185 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19149286 + ... + 19202594.

It is an arithmetic number, because the mean of its divisors is an integer number (8127642600).

Almost surely, 2^{1022250185460} is an apocalyptic number.

1022250185460 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 1022250185460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950634224000).

1022250185460 is an abundant number, since it is smaller than the sum of its proper divisors (2879018262540).

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

1022250185460 is a wasteful number, since it uses less digits than its factorization.

1022250185460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53445 (or 53434 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1022250185460 in words is "one trillion, twenty-two billion, two hundred fifty million, one hundred eighty-five thousand, four hundred sixty".