10275612480 has 896 divisors, whose sum is σ = 44242329600. Its totient is φ = 2194587648.

The previous prime is 10275612469. The next prime is 10275612497. The reversal of 10275612480 is 8421657201.

10275612480 is a `hidden beast` number, since 10 + 2 + 7 + 561 + 2 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 115456276 + ... + 115456364.

It is an arithmetic number, because the mean of its divisors is an integer number (49377600).

Almost surely, 2^10275612480 is an apocalyptic number.

10275612480 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 10275612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22121164800).

10275612480 is an abundant number, since it is smaller than the sum of its proper divisors (33966717120).

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

10275612480 is a wasteful number, since it uses less digits than its factorization.

10275612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10275612480 in words is "ten billion, two hundred seventy-five million, six hundred twelve thousand, four hundred eighty".