10388275520 has 224 divisors, whose sum is σ = 28817986560. Its totient is φ = 3493601280.

The previous prime is 10388275501. The next prime is 10388275531. The reversal of 10388275520 is 2557288301.

10388275520 = T₁₇₁ + T₁₇₂ + ... + T₃₉₆₄.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38332985 + ... + 38333255.

Almost surely, 2^10388275520 is an apocalyptic number.

10388275520 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 10388275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14408993280).

10388275520 is an abundant number, since it is smaller than the sum of its proper divisors (18429711040).

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

10388275520 is a wasteful number, since it uses less digits than its factorization.

10388275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 10388275520 in words is "ten billion, three hundred eighty-eight million, two hundred seventy-five thousand, five hundred twenty".