10002079514944 has 112 divisors (see below), whose sum is σ = 21699270149760. Its totient is φ = 4536533514240.

The previous prime is 10002079514939. The next prime is 10002079514983. The reversal of 10002079514944 is 44941597020001.

It is a junction number, because it is equal to n+sod(n) for n = 10002079514894 and 10002079514903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645579262 + ... + 645594754.

It is an arithmetic number, because the mean of its divisors is an integer number (193743483480).

Almost surely, 2^{10002079514944} 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 10002079514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849635074880).

10002079514944 is an abundant number, since it is smaller than the sum of its proper divisors (11697190634816).

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

10002079514944 is a wasteful number, since it uses less digits than its factorization.

10002079514944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17448 (or 17438 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10002079514944 in words is "ten trillion, two billion, seventy-nine million, five hundred fourteen thousand, nine hundred forty-four".