10617223680 has 240 divisors, whose sum is σ = 42023988864. Its totient is φ = 2426757120.

The previous prime is 10617223657. The next prime is 10617223681. The reversal of 10617223680 is 8632271601.

10617223680 is a `hidden beast` number, since 1 + 0 + 617 + 2 + 2 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10617223680² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10617223681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128365 + ... + 194195.

Almost surely, 2^10617223680 is an apocalyptic number.

10617223680 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 10617223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21011994432).

10617223680 is an abundant number, since it is smaller than the sum of its proper divisors (31406765184).

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

10617223680 is an equidigital number, since it uses as much as digits as its factorization.

10617223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65867 (or 65848 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10617223680 in words is "ten billion, six hundred seventeen million, two hundred twenty-three thousand, six hundred eighty".