42532211532000 has 384 divisors, whose sum is σ = 147593469703680. Its totient is φ = 10670284185600.

The previous prime is 42532211531987. The next prime is 42532211532023. The reversal of 42532211532000 is 23511223524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 501593607 + ... + 501678393.

It is an arithmetic number, because the mean of its divisors is an integer number (384357994020).

Almost surely, 2^{42532211532000} is an apocalyptic number.

42532211532000 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 42532211532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73796734851840).

42532211532000 is an abundant number, since it is smaller than the sum of its proper divisors (105061258171680).

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

42532211532000 is a wasteful number, since it uses less digits than its factorization.

42532211532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87291 (or 87273 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 42532211532000 its reverse (23511223524), we get a palindrome (42555722755524).

The spelling of 42532211532000 in words is "forty-two trillion, five hundred thirty-two billion, two hundred eleven million, five hundred thirty-two thousand".