10072880526320 has 80 divisors (see below), whose sum is σ = 23693736137760. Its totient is φ = 3982005350400.

The previous prime is 10072880526281. The next prime is 10072880526323. The reversal of 10072880526320 is 2362508827001.

10072880526320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10072880526323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14840780 + ... + 15504660.

It is an arithmetic number, because the mean of its divisors is an integer number (296171701722).

Almost surely, 2^{10072880526320} is an apocalyptic number.

10072880526320 is a gapful number since it is divisible by the number (10) 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 10072880526320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11846868068880).

10072880526320 is an abundant number, since it is smaller than the sum of its proper divisors (13620855611440).

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

10072880526320 is a wasteful number, since it uses less digits than its factorization.

10072880526320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666114 (or 666108 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 10072880526320 in words is "ten trillion, seventy-two billion, eight hundred eighty million, five hundred twenty-six thousand, three hundred twenty".