10088365056 has 176 divisors, whose sum is σ = 33524947200. Its totient is φ = 2620293120.

The previous prime is 10088365051. The next prime is 10088365069. The reversal of 10088365056 is 65056388001.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-3 number, since 3×10088365056³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10088364999 and 10088365017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088365051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 215220 + ... + 257868.

Almost surely, 2^10088365056 is an apocalyptic number.

10088365056 is a gapful number since it is divisible by the number (16) 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 10088365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762473600).

10088365056 is an abundant number, since it is smaller than the sum of its proper divisors (23436582144).

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

10088365056 is a wasteful number, since it uses less digits than its factorization.

10088365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42690 (or 42672 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 10088365056 in words is "ten billion, eighty-eight million, three hundred sixty-five thousand, fifty-six".