42552688000 has 128 divisors (see below), whose sum is σ = 107592170400. Its totient is φ = 16732211200.

The previous prime is 42552687973. The next prime is 42552688007. The reversal of 42552688000 is 88625524.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42552688007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 921462 + ... + 966538.

Almost surely, 2^42552688000 is an apocalyptic number.

42552688000 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 42552688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53796085200).

42552688000 is an abundant number, since it is smaller than the sum of its proper divisors (65039482400).

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

42552688000 is an equidigital number, since it uses as much as digits as its factorization.

42552688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45165 (or 45143 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The spelling of 42552688000 in words is "forty-two billion, five hundred fifty-two million, six hundred eighty-eight thousand".