10516696654464 has 1728 divisors, whose sum is σ = 42203217157920. Its totient is φ = 2489360670720.

The previous prime is 10516696654463. The next prime is 10516696654511. The reversal of 10516696654464 is 46445669661501.

10516696654464 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 69 + 66 + 54 + 464 = 666.

It is a super-2 number, since 2×10516696654464² (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 (10516696654463) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7369793719 + ... + 7369795145.

Almost surely, 2^{10516696654464} is an apocalyptic number.

10516696654464 is a gapful number since it is divisible by the number (14) 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 10516696654464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21101608578960).

10516696654464 is an abundant number, since it is smaller than the sum of its proper divisors (31686520503456).

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

10516696654464 is a wasteful number, since it uses less digits than its factorization.

10516696654464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 10516696654464 in words is "ten trillion, five hundred sixteen billion, six hundred ninety-six million, six hundred fifty-four thousand, four hundred sixty-four".