10272978576 has 180 divisors, whose sum is σ = 34683269712. Its totient is φ = 2935082304.

The previous prime is 10272978487. The next prime is 10272978587. The reversal of 10272978576 is 67587927201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 163551 + ... + 217473.

Almost surely, 2^10272978576 is an apocalyptic number.

10272978576 is a gapful number since it is divisible by the number (16) 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 10272978576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17341634856).

10272978576 is an abundant number, since it is smaller than the sum of its proper divisors (24410291136).

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

10272978576 is an equidigital number, since it uses as much as digits as its factorization.

10272978576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53960 (or 53935 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10272978576 in words is "ten billion, two hundred seventy-two million, nine hundred seventy-eight thousand, five hundred seventy-six".