10002719397832 has 256 divisors, whose sum is σ = 24944910336000. Its totient is φ = 3734782571520.

The previous prime is 10002719397817. The next prime is 10002719397859. The reversal of 10002719397832 is 23879391720001.

It is a self number, because there is not a number n which added to its sum of digits gives 10002719397832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33109653 + ... + 33410395.

It is an arithmetic number, because the mean of its divisors is an integer number (97441056000).

Almost surely, 2^{10002719397832} 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 10002719397832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12472455168000).

10002719397832 is an abundant number, since it is smaller than the sum of its proper divisors (14942190938168).

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

10002719397832 is a wasteful number, since it uses less digits than its factorization.

10002719397832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300841 (or 300823 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 52.

The spelling of 10002719397832 in words is "ten trillion, two billion, seven hundred nineteen million, three hundred ninety-seven thousand, eight hundred thirty-two".