10612913220 has 672 divisors, whose sum is σ = 43394023680. Its totient is φ = 2116316160.

The previous prime is 10612913203. The next prime is 10612913243. The reversal of 10612913220 is 2231921601.

10612913220 is a `hidden beast` number, since 10 + 612 + 9 + 1 + 32 + 2 + 0 = 666.

It is a super-2 number, since 2×10612913220² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25208610 + ... + 25209030.

It is an arithmetic number, because the mean of its divisors is an integer number (64574440).

Almost surely, 2^10612913220 is an apocalyptic number.

10612913220 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 10612913220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21697011840).

10612913220 is an abundant number, since it is smaller than the sum of its proper divisors (32781110460).

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

10612913220 is a wasteful number, since it uses less digits than its factorization.

10612913220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10612913220 in words is "ten billion, six hundred twelve million, nine hundred thirteen thousand, two hundred twenty".