10647196560 has 1440 divisors, whose sum is σ = 51866680320. Its totient is φ = 1897758720.

The previous prime is 10647196541. The next prime is 10647196579. The reversal of 10647196560 is 6569174601.

10647196560 is a `hidden beast` number, since 10 + 6 + 4 + 71 + 9 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (10647196541) and next prime (10647196579).

It is a super-2 number, since 2×10647196560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 134774601 + ... + 134774679.

It is an arithmetic number, because the mean of its divisors is an integer number (36018528).

Almost surely, 2^10647196560 is an apocalyptic number.

10647196560 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 10647196560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25933340160).

10647196560 is an abundant number, since it is smaller than the sum of its proper divisors (41219483760).

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

10647196560 is a wasteful number, since it uses less digits than its factorization.

10647196560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10647196560 in words is "ten billion, six hundred forty-seven million, one hundred ninety-six thousand, five hundred sixty".