10014520320 has 704 divisors, whose sum is σ = 41503334400. Its totient is φ = 2242805760.

The previous prime is 10014520279. The next prime is 10014520343. The reversal of 10014520320 is 2302541001.

10014520320 is a `hidden beast` number, since 100 + 14 + 520 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10014520293 and 10014520302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76446655 + ... + 76446785.

It is an arithmetic number, because the mean of its divisors is an integer number (58953600).

Almost surely, 2^10014520320 is an apocalyptic number.

10014520320 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 10014520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20751667200).

10014520320 is an abundant number, since it is smaller than the sum of its proper divisors (31488814080).

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

10014520320 is a wasteful number, since it uses less digits than its factorization.

10014520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The spelling of 10014520320 in words is "ten billion, fourteen million, five hundred twenty thousand, three hundred twenty".