10617952224 has 48 divisors (see below), whose sum is σ = 30405957120. Its totient is φ = 3217560960.

The previous prime is 10617952211. The next prime is 10617952283. The reversal of 10617952224 is 42225971601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10617952224² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5026384 + ... + 5028495.

It is an arithmetic number, because the mean of its divisors is an integer number (633457440).

Almost surely, 2^10617952224 is an apocalyptic number.

It is an amenable number.

10617952224 is an abundant number, since it is smaller than the sum of its proper divisors (19788004896).

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

10617952224 is a wasteful number, since it uses less digits than its factorization.

10617952224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054903 (or 10054895 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 10617952224 in words is "ten billion, six hundred seventeen million, nine hundred fifty-two thousand, two hundred twenty-four".