212629959360 has 1344 divisors, whose sum is σ = 944573736960. Its totient is φ = 44079759360.

The previous prime is 212629959341. The next prime is 212629959371. The reversal of 212629959360 is 63959926212.

It is a happy number.

212629959360 is a `hidden beast` number, since 2 + 1 + 2 + 629 + 9 + 5 + 9 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×212629959360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 212629959297 and 212629959306.

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 191 ways as a sum of consecutive naturals, for example, 725699374 + ... + 725699666.

It is an arithmetic number, because the mean of its divisors is an integer number (702807840).

Almost surely, 2^212629959360 is an apocalyptic number.

212629959360 is a gapful number since it is divisible by the number (20) 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 212629959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472286868480).

212629959360 is an abundant number, since it is smaller than the sum of its proper divisors (731943777600).

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

212629959360 is a wasteful number, since it uses less digits than its factorization.

212629959360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 212629959360 in words is "two hundred twelve billion, six hundred twenty-nine million, nine hundred fifty-nine thousand, three hundred sixty".