13763200138820 has 24 divisors (see below), whose sum is σ = 31530240318528. Its totient is φ = 5004800050400.

The previous prime is 13763200138747. The next prime is 13763200138871. The reversal of 13763200138820 is 2883100236731.

It is a super-2 number, since 2×13763200138820² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31280000096 + ... + 31280000535.

It is an arithmetic number, because the mean of its divisors is an integer number (1313760013272).

Almost surely, 2^{13763200138820} is an apocalyptic number.

13763200138820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13763200138820 is an abundant number, since it is smaller than the sum of its proper divisors (17767040179708).

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

13763200138820 is a wasteful number, since it uses less digits than its factorization.

13763200138820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62560000651 (or 62560000649 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 13763200138820 in words is "thirteen trillion, seven hundred sixty-three billion, two hundred million, one hundred thirty-eight thousand, eight hundred twenty".