10279087287616 has 560 divisors, whose sum is σ = 25553333159424. Its totient is φ = 4093043125248.

The previous prime is 10279087287523. The next prime is 10279087287629. The reversal of 10279087287616 is 61678278097201.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 19654086331 + ... + 19654086853.

Almost surely, 2^{10279087287616} is an apocalyptic number.

10279087287616 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 10279087287616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12776666579712).

10279087287616 is an abundant number, since it is smaller than the sum of its proper divisors (15274245871808).

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

10279087287616 is an frugal number, since it uses more digits than its factorization.

10279087287616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 64.

The spelling of 10279087287616 in words is "ten trillion, two hundred seventy-nine billion, eighty-seven million, two hundred eighty-seven thousand, six hundred sixteen".