10667675842560 has 960 divisors, whose sum is σ = 44166585022560. Its totient is φ = 2433944125440.

The previous prime is 10667675842547. The next prime is 10667675842601. The reversal of 10667675842560 is 6524857676601.

10667675842560 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 67 + 5 + 8 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10667675842560² (a number of 27 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 79 ways as a sum of consecutive naturals, for example, 155070892 + ... + 155139668.

Almost surely, 2^{10667675842560} is an apocalyptic number.

10667675842560 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 10667675842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083292511280).

10667675842560 is an abundant number, since it is smaller than the sum of its proper divisors (33498909180000).

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

10667675842560 is a wasteful number, since it uses less digits than its factorization.

10667675842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68844 (or 68815 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 10667675842560 in words is "ten trillion, six hundred sixty-seven billion, six hundred seventy-five million, eight hundred forty-two thousand, five hundred sixty".