10101486560872 has 256 divisors, whose sum is σ = 24443921940480. Its totient is φ = 3811467264000.

The previous prime is 10101486560749. The next prime is 10101486560897. The reversal of 10101486560872 is 27806568410101.

It is a super-2 number, since 2×10101486560872² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1647605247 + ... + 1647611377.

It is an arithmetic number, because the mean of its divisors is an integer number (95484070080).

Almost surely, 2^{10101486560872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101486560872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221960970240).

10101486560872 is an abundant number, since it is smaller than the sum of its proper divisors (14342435379608).

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

10101486560872 is a wasteful number, since it uses less digits than its factorization.

10101486560872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 49.

The spelling of 10101486560872 in words is "ten trillion, one hundred one billion, four hundred eighty-six million, five hundred sixty thousand, eight hundred seventy-two".