10088527680 has 1008 divisors, whose sum is σ = 45153291456. Its totient is φ = 2043740160.

The previous prime is 10088527667. The next prime is 10088527711. The reversal of 10088527680 is 8672588001.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104005392 + ... + 104005488.

It is an arithmetic number, because the mean of its divisors is an integer number (44794932).

Almost surely, 2^10088527680 is an apocalyptic number.

10088527680 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 10088527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22576645728).

10088527680 is an abundant number, since it is smaller than the sum of its proper divisors (35064763776).

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

10088527680 is a wasteful number, since it uses less digits than its factorization.

10088527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 10088527680 in words is "ten billion, eighty-eight million, five hundred twenty-seven thousand, six hundred eighty".