212763573398376 has 2880 divisors, whose sum is σ = 846365599981440. Its totient is φ = 49430091110400.

The previous prime is 212763573398297. The next prime is 212763573398443. The reversal of 212763573398376 is 673893375367212.

212763573398376 is a `hidden beast` number, since 2 + 1 + 2 + 76 + 35 + 73 + 3 + 98 + 376 = 666.

It is a super-2 number, since 2×212763573398376² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 337184743581 + ... + 337184744211.

It is an arithmetic number, because the mean of its divisors is an integer number (293876944438).

Almost surely, 2^{212763573398376} is an apocalyptic number.

212763573398376 is a gapful number since it is divisible by the number (26) 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 212763573398376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423182799990720).

212763573398376 is an abundant number, since it is smaller than the sum of its proper divisors (633602026583064).

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

212763573398376 is a wasteful number, since it uses less digits than its factorization.

212763573398376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 867 counting only the distinct ones).

The product of its digits is 1440270720, while the sum is 72.

The spelling of 212763573398376 in words is "two hundred twelve trillion, seven hundred sixty-three billion, five hundred seventy-three million, three hundred ninety-eight thousand, three hundred seventy-six".