45852212560 has 160 divisors (see below), whose sum is σ = 135625248000. Its totient is φ = 14291504640.

The previous prime is 45852212551. The next prime is 45852212563. The reversal of 45852212560 is 6521225854.

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 (45852212563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225886 + ... + 377794.

It is an arithmetic number, because the mean of its divisors is an integer number (847657800).

Almost surely, 2^45852212560 is an apocalyptic number.

45852212560 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 45852212560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67812624000).

45852212560 is an abundant number, since it is smaller than the sum of its proper divisors (89773035440).

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

45852212560 is a wasteful number, since it uses less digits than its factorization.

45852212560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151954 (or 151934 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 45852212560 in words is "forty-five billion, eight hundred fifty-two million, two hundred twelve thousand, five hundred sixty".