10617721920 has 224 divisors, whose sum is σ = 40338695040. Its totient is φ = 2613565440.

The previous prime is 10617721903. The next prime is 10617721957. The reversal of 10617721920 is 2912771601.

It is a happy number.

10617721920 is a `hidden beast` number, since 1 + 0 + 617 + 7 + 2 + 19 + 20 = 666.

It is a super-2 number, since 2×10617721920² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65055 + ... + 159585.

It is an arithmetic number, because the mean of its divisors is an integer number (180083460).

Almost surely, 2^10617721920 is an apocalyptic number.

10617721920 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 10617721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20169347520).

10617721920 is an abundant number, since it is smaller than the sum of its proper divisors (29720973120).

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

10617721920 is a wasteful number, since it uses less digits than its factorization.

10617721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94570 (or 94554 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 10617721920 in words is "ten billion, six hundred seventeen million, seven hundred twenty-one thousand, nine hundred twenty".