10223320587480 has 4096 divisors, whose sum is σ = 49904418816000. Its totient is φ = 1793381990400.

The previous prime is 10223320587463. The next prime is 10223320587619. The reversal of 10223320587480 is 8478502332201.

10223320587480 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 3 + 20 + 587 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 65116691562 + ... + 65116691718.

It is an arithmetic number, because the mean of its divisors is an integer number (12183696000).

Almost surely, 2^{10223320587480} is an apocalyptic number.

10223320587480 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 10223320587480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24952209408000).

10223320587480 is an abundant number, since it is smaller than the sum of its proper divisors (39681098228520).

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

10223320587480 is a wasteful number, since it uses less digits than its factorization.

10223320587480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10223320587480 in words is "ten trillion, two hundred twenty-three billion, three hundred twenty million, five hundred eighty-seven thousand, four hundred eighty".