10701216006048 has 72 divisors (see below), whose sum is σ = 30433435669728. Its totient is φ = 3566854841472.

The previous prime is 10701216005993. The next prime is 10701216006049. The reversal of 10701216006048 is 84060061210701.

It is a happy number.

10701216006048 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 1 + 2 + 1 + 600 + 6 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10701216006048² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10701216006049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3642765 + ... + 5888307.

It is an arithmetic number, because the mean of its divisors is an integer number (422686606524).

Almost surely, 2^{10701216006048} is an apocalyptic number.

10701216006048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10701216006048 is an abundant number, since it is smaller than the sum of its proper divisors (19732219663680).

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

10701216006048 is a wasteful number, since it uses less digits than its factorization.

10701216006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262106 (or 2262095 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 10701216006048 its reverse (84060061210701), we get a palindrome (94761277216749).

The spelling of 10701216006048 in words is "ten trillion, seven hundred one billion, two hundred sixteen million, six thousand, forty-eight".