10275007299480 has 576 divisors, whose sum is σ = 42513767412480. Its totient is φ = 2128188787200.

The previous prime is 10275007299451. The next prime is 10275007299493. The reversal of 10275007299480 is 8499270057201.

10275007299480 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 5 + 0 + 0 + 72 + 99 + 480 = 666.

10275007299480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60261307 + ... + 60431573.

It is an arithmetic number, because the mean of its divisors is an integer number (73808623980).

Almost surely, 2^{10275007299480} is an apocalyptic number.

10275007299480 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 10275007299480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21256883706240).

10275007299480 is an abundant number, since it is smaller than the sum of its proper divisors (32238760113000).

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

10275007299480 is a wasteful number, since it uses less digits than its factorization.

10275007299480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170620 (or 170606 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10275007299480 in words is "ten trillion, two hundred seventy-five billion, seven million, two hundred ninety-nine thousand, four hundred eighty".