10095079770480 has 320 divisors, whose sum is σ = 34384279265280. Its totient is φ = 2438728934400.

The previous prime is 10095079770427. The next prime is 10095079770487. The reversal of 10095079770480 is 8407797059001.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 10095079770480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10095079770487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410173375 + ... + 410197985.

It is an arithmetic number, because the mean of its divisors is an integer number (107450872704).

Almost surely, 2^{10095079770480} is an apocalyptic number.

10095079770480 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 10095079770480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17192139632640).

10095079770480 is an abundant number, since it is smaller than the sum of its proper divisors (24289199494800).

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

10095079770480 is a wasteful number, since it uses less digits than its factorization.

10095079770480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28580 (or 28574 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 57.

The spelling of 10095079770480 in words is "ten trillion, ninety-five billion, seventy-nine million, seven hundred seventy thousand, four hundred eighty".