10752621888 has 112 divisors (see below), whose sum is σ = 28744712640. Its totient is φ = 3547213824.

The previous prime is 10752621871. The next prime is 10752621899. The reversal of 10752621888 is 88812625701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16466170 + ... + 16466822.

It is an arithmetic number, because the mean of its divisors is an integer number (256649220).

Almost surely, 2^10752621888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10752621888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14372356320).

10752621888 is an abundant number, since it is smaller than the sum of its proper divisors (17992090752).

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

10752621888 is a wasteful number, since it uses less digits than its factorization.

10752621888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 10752621888 in words is "ten billion, seven hundred fifty-two million, six hundred twenty-one thousand, eight hundred eighty-eight".