212766726551040 has 1280 divisors, whose sum is σ = 817612995133440. Its totient is φ = 52251375697920.

The previous prime is 212766726551021. The next prime is 212766726551053. The reversal of 212766726551040 is 40155627667212.

212766726551040 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 6 + 67 + 2 + 65 + 510 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10893786075 + ... + 10893805605.

It is an arithmetic number, because the mean of its divisors is an integer number (638760152448).

Almost surely, 2^{212766726551040} is an apocalyptic number.

212766726551040 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 212766726551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408806497566720).

212766726551040 is an abundant number, since it is smaller than the sum of its proper divisors (604846268582400).

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

212766726551040 is a wasteful number, since it uses less digits than its factorization.

212766726551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19780 (or 19758 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 212766726551040 in words is "two hundred twelve trillion, seven hundred sixty-six billion, seven hundred twenty-six million, five hundred fifty-one thousand, forty".