10650013920 has 384 divisors, whose sum is σ = 45878676480. Its totient is φ = 2246952960.

The previous prime is 10650013897. The next prime is 10650013921. The reversal of 10650013920 is 2931005601.

10650013920 is a `hidden beast` number, since 1 + 0 + 6 + 500 + 139 + 20 = 666.

It is a super-2 number, since 2×10650013920² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10650013921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379575 + ... + 406665.

It is an arithmetic number, because the mean of its divisors is an integer number (119475720).

Almost surely, 2^10650013920 is an apocalyptic number.

10650013920 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 10650013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939338240).

10650013920 is an abundant number, since it is smaller than the sum of its proper divisors (35228662560).

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

10650013920 is a wasteful number, since it uses less digits than its factorization.

10650013920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27135 (or 27121 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 10650013920 in words is "ten billion, six hundred fifty million, thirteen thousand, nine hundred twenty".