10421752320 has 720 divisors, whose sum is σ = 43778180160. Its totient is φ = 2244132864.

The previous prime is 10421752309. The next prime is 10421752343. The reversal of 10421752320 is 2325712401.

10421752320 is a `hidden beast` number, since 1 + 0 + 421 + 7 + 5 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10421752320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58221991 + ... + 58222169.

It is an arithmetic number, because the mean of its divisors is an integer number (60803028).

Almost surely, 2^10421752320 is an apocalyptic number.

10421752320 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 10421752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21889090080).

10421752320 is an abundant number, since it is smaller than the sum of its proper divisors (33356427840).

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

10421752320 is a wasteful number, since it uses less digits than its factorization.

10421752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 10421752320 in words is "ten billion, four hundred twenty-one million, seven hundred fifty-two thousand, three hundred twenty".