10674278899776 has 168 divisors, whose sum is σ = 30699605035008. Its totient is φ = 3546048000000.

The previous prime is 10674278899759. The next prime is 10674278899811. The reversal of 10674278899776 is 67799887247601.

10674278899776 is a `hidden beast` number, since 106 + 7 + 427 + 8 + 89 + 9 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×10674278899776² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10674278899695 and 10674278899704.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265833301 + ... + 265873451.

It is an arithmetic number, because the mean of its divisors is an integer number (182735744256).

Almost surely, 2^{10674278899776} is an apocalyptic number.

10674278899776 is a gapful number since it is divisible by the number (16) 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 10674278899776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15349802517504).

10674278899776 is an abundant number, since it is smaller than the sum of its proper divisors (20025326135232).

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

10674278899776 is a wasteful number, since it uses less digits than its factorization.

10674278899776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41721 (or 41708 counting only the distinct ones).

The product of its (nonzero) digits is 3584673792, while the sum is 81.

The spelling of 10674278899776 in words is "ten trillion, six hundred seventy-four billion, two hundred seventy-eight million, eight hundred ninety-nine thousand, seven hundred seventy-six".