10667001615540 has 192 divisors, whose sum is σ = 31784439536640. Its totient is φ = 2665298718720.

The previous prime is 10667001615527. The next prime is 10667001615553. The reversal of 10667001615540 is 4551610076601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10667001615527) and next prime (10667001615553).

It is a super-2 number, since 2×10667001615540² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10667001615492 and 10667001615501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173690479 + ... + 173751881.

It is an arithmetic number, because the mean of its divisors is an integer number (165543955920).

Almost surely, 2^{10667001615540} is an apocalyptic number.

10667001615540 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 10667001615540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892219768320).

10667001615540 is an abundant number, since it is smaller than the sum of its proper divisors (21117437921100).

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

10667001615540 is a wasteful number, since it uses less digits than its factorization.

10667001615540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63102 (or 63100 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 10667001615540 in words is "ten trillion, six hundred sixty-seven billion, one million, six hundred fifteen thousand, five hundred forty".