42552972000 has 2304 divisors, whose sum is σ = 212964111360. Its totient is φ = 8128512000.

The previous prime is 42552971987. The next prime is 42552972013. The reversal of 42552972000 is 27925524.

It is a happy number.

42552972000 is a `hidden beast` number, since 425 + 5 + 29 + 7 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42552971987) and next prime (42552972013).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 383 ways as a sum of consecutive naturals, for example, 989603979 + ... + 989604021.

It is an arithmetic number, because the mean of its divisors is an integer number (92432340).

Almost surely, 2^42552972000 is an apocalyptic number.

42552972000 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 42552972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106482055680).

42552972000 is an abundant number, since it is smaller than the sum of its proper divisors (170411139360).

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

42552972000 is a wasteful number, since it uses less digits than its factorization.

42552972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 42552972000 in words is "forty-two billion, five hundred fifty-two million, nine hundred seventy-two thousand".