10088372448 has 864 divisors, whose sum is σ = 39527429760. Its totient is φ = 2499517440.

The previous prime is 10088372431. The next prime is 10088372453. The reversal of 10088372448 is 84427388001.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 121546615 + ... + 121546697.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 2^10088372448 is an apocalyptic number.

10088372448 is a gapful number since it is divisible by the number (18) 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 10088372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763714880).

10088372448 is an abundant number, since it is smaller than the sum of its proper divisors (29439057312).

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

10088372448 is a wasteful number, since it uses less digits than its factorization.

10088372448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 10088372448 in words is "ten billion, eighty-eight million, three hundred seventy-two thousand, four hundred forty-eight".