10797346175616 has 3072 divisors, whose sum is σ = 47384193024000. Its totient is φ = 2370274099200.

The previous prime is 10797346175611. The next prime is 10797346175639. The reversal of 10797346175616 is 61657164379701.

10797346175616 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 7 + 3 + 4 + 6 + 1 + 7 + 5 + 616 = 666.

It is a super-2 number, since 2×10797346175616² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10797346175611) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14263336710 + ... + 14263337466.

It is an arithmetic number, because the mean of its divisors is an integer number (15424542000).

Almost surely, 2^{10797346175616} is an apocalyptic number.

10797346175616 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 10797346175616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23692096512000).

10797346175616 is an abundant number, since it is smaller than the sum of its proper divisors (36586846848384).

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

10797346175616 is a wasteful number, since it uses less digits than its factorization.

10797346175616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 10797346175616 in words is "ten trillion, seven hundred ninety-seven billion, three hundred forty-six million, one hundred seventy-five thousand, six hundred sixteen".