10272788064 has 1008 divisors, whose sum is σ = 41447609280. Its totient is φ = 2469035520.

The previous prime is 10272788041. The next prime is 10272788081. The reversal of 10272788064 is 46088727201.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 238902027 + ... + 238902069.

It is an arithmetic number, because the mean of its divisors is an integer number (41118660).

Almost surely, 2^10272788064 is an apocalyptic number.

10272788064 is a gapful number since it is divisible by the number (14) 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 10272788064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20723804640).

10272788064 is an abundant number, since it is smaller than the sum of its proper divisors (31174821216).

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

10272788064 is a wasteful number, since it uses less digits than its factorization.

10272788064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10272788064 in words is "ten billion, two hundred seventy-two million, seven hundred eighty-eight thousand, sixty-four".