13785073800 has 288 divisors, whose sum is σ = 46578804480. Its totient is φ = 3368563200.

The previous prime is 13785073793. The next prime is 13785073823. The reversal of 13785073800 is 837058731.

It is a super-4 number, since 4×13785073800⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6713574 + ... + 6715626.

It is an arithmetic number, because the mean of its divisors is an integer number (161731960).

Almost surely, 2^13785073800 is an apocalyptic number.

13785073800 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 13785073800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23289402240).

13785073800 is an abundant number, since it is smaller than the sum of its proper divisors (32793730680).

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

13785073800 is a wasteful number, since it uses less digits than its factorization.

13785073800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 13785073800 in words is "thirteen billion, seven hundred eighty-five million, seventy-three thousand, eight hundred".