212795510400 has 1536 divisors, whose sum is σ = 897542553600. Its totient is φ = 48771072000.

The previous prime is 212795510383. The next prime is 212795510419. The reversal of 212795510400 is 4015597212.

212795510400 is a `hidden beast` number, since 2 + 12 + 7 + 95 + 510 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1675555137 + ... + 1675555263.

It is an arithmetic number, because the mean of its divisors is an integer number (584337600).

Almost surely, 2^212795510400 is an apocalyptic number.

212795510400 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 212795510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448771276800).

212795510400 is an abundant number, since it is smaller than the sum of its proper divisors (684747043200).

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

212795510400 is a wasteful number, since it uses less digits than its factorization.

212795510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 212795510400 in words is "two hundred twelve billion, seven hundred ninety-five million, five hundred ten thousand, four hundred".