10300590720 has 1024 divisors, whose sum is σ = 44745523200. Its totient is φ = 2189721600.

The previous prime is 10300590637. The next prime is 10300590743. The reversal of 10300590720 is 2709500301.

10300590720 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 590 + 72 + 0 = 666.

It is a super-2 number, since 2×10300590720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153740127 + ... + 153740193.

It is an arithmetic number, because the mean of its divisors is an integer number (43696800).

Almost surely, 2^10300590720 is an apocalyptic number.

10300590720 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 10300590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372761600).

10300590720 is an abundant number, since it is smaller than the sum of its proper divisors (34444932480).

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

10300590720 is a wasteful number, since it uses less digits than its factorization.

10300590720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 10300590720 in words is "ten billion, three hundred million, five hundred ninety thousand, seven hundred twenty".