10072422850560 has 448 divisors, whose sum is σ = 36866789148672. Its totient is φ = 2300221587456.

The previous prime is 10072422850543. The next prime is 10072422850597. The reversal of 10072422850560 is 6505822427001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103580717 + ... + 1103589843.

It is an arithmetic number, because the mean of its divisors is an integer number (82291940064).

Almost surely, 2^{10072422850560} is an apocalyptic number.

10072422850560 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 10072422850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18433394574336).

10072422850560 is an abundant number, since it is smaller than the sum of its proper divisors (26794366298112).

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

10072422850560 is an equidigital number, since it uses as much as digits as its factorization.

10072422850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10427 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 10072422850560 in words is "ten trillion, seventy-two billion, four hundred twenty-two million, eight hundred fifty thousand, five hundred sixty".