10002225481920 has 1344 divisors, whose sum is σ = 40388331110400. Its totient is φ = 2225242865664.

The previous prime is 10002225481909. The next prime is 10002225481939. The reversal of 10002225481920 is 2918452220001.

10002225481920 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 22 + 548 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59893565677 + ... + 59893565843.

It is an arithmetic number, because the mean of its divisors is an integer number (30050841600).

Almost surely, 2^{10002225481920} is an apocalyptic number.

10002225481920 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 10002225481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20194165555200).

10002225481920 is an abundant number, since it is smaller than the sum of its proper divisors (30386105628480).

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

10002225481920 is a wasteful number, since it uses less digits than its factorization.

10002225481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10002225481920 in words is "ten trillion, two billion, two hundred twenty-five million, four hundred eighty-one thousand, nine hundred twenty".