10273856351616 has 2560 divisors, whose sum is σ = 40098980275200. Its totient is φ = 2561974272000.

The previous prime is 10273856351609. The next prime is 10273856351617. The reversal of 10273856351616 is 61615365837201.

10273856351616 is a `hidden beast` number, since 1 + 0 + 2 + 73 + 8 + 56 + 3 + 516 + 1 + 6 = 666.

It is a super-3 number, since 3×10273856351616³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10273856351617) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 65438575410 + ... + 65438575566.

It is an arithmetic number, because the mean of its divisors is an integer number (15663664170).

Almost surely, 2^{10273856351616} is an apocalyptic number.

10273856351616 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 10273856351616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049490137600).

10273856351616 is an abundant number, since it is smaller than the sum of its proper divisors (29825123923584).

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

10273856351616 is a wasteful number, since it uses less digits than its factorization.

10273856351616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 10273856351616 in words is "ten trillion, two hundred seventy-three billion, eight hundred fifty-six million, three hundred fifty-one thousand, six hundred sixteen".