10677811659840 has 1792 divisors, whose sum is σ = 44105779200000. Its totient is φ = 2408972451840.

The previous prime is 10677811659799. The next prime is 10677811659881. The reversal of 10677811659840 is 4895611877601.

It is an interprime number because it is at equal distance from previous prime (10677811659799) and next prime (10677811659881).

It is a super-2 number, since 2×10677811659840² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21398419911 + ... + 21398420409.

It is an arithmetic number, because the mean of its divisors is an integer number (24612600000).

Almost surely, 2^{10677811659840} is an apocalyptic number.

10677811659840 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 10677811659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052889600000).

10677811659840 is an abundant number, since it is smaller than the sum of its proper divisors (33427967540160).

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

10677811659840 is a wasteful number, since it uses less digits than its factorization.

10677811659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 10677811659840 in words is "ten trillion, six hundred seventy-seven billion, eight hundred eleven million, six hundred fifty-nine thousand, eight hundred forty".