10220073507300 has 288 divisors, whose sum is σ = 30654158008320. Its totient is φ = 2626890739200.

The previous prime is 10220073507269. The next prime is 10220073507349. The reversal of 10220073507300 is 370537002201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 882632911 + ... + 882644489.

It is an arithmetic number, because the mean of its divisors is an integer number (106438048640).

Almost surely, 2^{10220073507300} is an apocalyptic number.

10220073507300 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 10220073507300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15327079004160).

10220073507300 is an abundant number, since it is smaller than the sum of its proper divisors (20434084501020).

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

10220073507300 is a wasteful number, since it uses less digits than its factorization.

10220073507300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12371 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The spelling of 10220073507300 in words is "ten trillion, two hundred twenty billion, seventy-three million, five hundred seven thousand, three hundred".