43780055088000 has 6144 divisors, whose sum is σ = 206879422464000. Its totient is φ = 8067096576000.

The previous prime is 43780055087947. The next prime is 43780055088001. The reversal of 43780055088000 is 88055008734.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43780055088001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 742034831971 + ... + 742034832029.

It is an arithmetic number, because the mean of its divisors is an integer number (33671781000).

Almost surely, 2^{43780055088000} is an apocalyptic number.

43780055088000 is a gapful number since it is divisible by the number (40) 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 43780055088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103439711232000).

43780055088000 is an abundant number, since it is smaller than the sum of its proper divisors (163099367376000).

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

43780055088000 is a wasteful number, since it uses less digits than its factorization.

43780055088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 43780055088000 in words is "forty-three trillion, seven hundred eighty billion, fifty-five million, eighty-eight thousand".