10378800588080 has 20 divisors (see below), whose sum is σ = 24130711367472. Its totient is φ = 4151520235200.

The previous prime is 10378800588043. The next prime is 10378800588097. The reversal of 10378800588080 is 8088500887301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×10378800588080³ (a number of 40 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64867503596 + ... + 64867503755.

Almost surely, 2^{10378800588080} is an apocalyptic number.

10378800588080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10378800588080 is an abundant number, since it is smaller than the sum of its proper divisors (13751910779392).

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

10378800588080 is a wasteful number, since it uses less digits than its factorization.

10378800588080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129735007364 (or 129735007358 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 56.

The spelling of 10378800588080 in words is "ten trillion, three hundred seventy-eight billion, eight hundred million, five hundred eighty-eight thousand, eighty".