42552503642220 has 432 divisors, whose sum is σ = 143929147703040. Its totient is φ = 9380097492480.

The previous prime is 42552503642191. The next prime is 42552503642249. The reversal of 42552503642220 is 2224630525524.

42552503642220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42552503642191) and next prime (42552503642249).

It is a super-2 number, since 2×42552503642220² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81946161 + ... + 82463799.

Almost surely, 2^{42552503642220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42552503642220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71964573851520).

42552503642220 is an abundant number, since it is smaller than the sum of its proper divisors (101376644060820).

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

42552503642220 is a wasteful number, since it uses less digits than its factorization.

42552503642220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517766 (or 517740 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

The spelling of 42552503642220 in words is "forty-two trillion, five hundred fifty-two billion, five hundred three million, six hundred forty-two thousand, two hundred twenty".