152211312680 has 512 divisors, whose sum is σ = 447897600000. Its totient is φ = 46301359104.

The previous prime is 152211312677. The next prime is 152211312689. The reversal of 152211312680 is 86213112251.

It is not an unprimeable number, because it can be changed into a prime (152211312689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317768681 + ... + 317769159.

It is an arithmetic number, because the mean of its divisors is an integer number (874800000).

Almost surely, 2^152211312680 is an apocalyptic number.

152211312680 is a gapful number since it is divisible by the number (10) 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 152211312680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223948800000).

152211312680 is an abundant number, since it is smaller than the sum of its proper divisors (295686287320).

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

152211312680 is a wasteful number, since it uses less digits than its factorization.

152211312680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 152211312680 in words is "one hundred fifty-two billion, two hundred eleven million, three hundred twelve thousand, six hundred eighty".