10588869879840 has 960 divisors, whose sum is σ = 43343623749888. Its totient is φ = 2384557056000.

The previous prime is 10588869879803. The next prime is 10588869879853. The reversal of 10588869879840 is 4897896888501.

It is a super-2 number, since 2×10588869879840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 10588869879840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1933331182 + ... + 1933336658.

Almost surely, 2^{10588869879840} is an apocalyptic number.

10588869879840 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 10588869879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21671811874944).

10588869879840 is an abundant number, since it is smaller than the sum of its proper divisors (32754753870048).

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

10588869879840 is a wasteful number, since it uses less digits than its factorization.

10588869879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 81.

The spelling of 10588869879840 in words is "ten trillion, five hundred eighty-eight billion, eight hundred sixty-nine million, eight hundred seventy-nine thousand, eight hundred forty".