55785442000 has 160 divisors (see below), whose sum is σ = 141268458240. Its totient is φ = 21266009600.

The previous prime is 55785441989. The next prime is 55785442019. The reversal of 55785442000 is 24458755.

It is a super-2 number, since 2×55785442000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 13475931 + ... + 13480069.

It is an arithmetic number, because the mean of its divisors is an integer number (882927864).

Almost surely, 2^55785442000 is an apocalyptic number.

55785442000 is a gapful number since it is divisible by the number (50) 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 55785442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70634229120).

55785442000 is an abundant number, since it is smaller than the sum of its proper divisors (85483016240).

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

55785442000 is a wasteful number, since it uses less digits than its factorization.

55785442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 40.

The spelling of 55785442000 in words is "fifty-five billion, seven hundred eighty-five million, four hundred forty-two thousand".