212769539640 has 640 divisors, whose sum is σ = 838670785920. Its totient is φ = 47377612800.

The previous prime is 212769539617. The next prime is 212769539651. The reversal of 212769539640 is 46935967212.

212769539640 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 69 + 539 + 6 + 40 = 666.

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 159 ways as a sum of consecutive naturals, for example, 156332560 + ... + 156333920.

It is an arithmetic number, because the mean of its divisors is an integer number (1310423103).

Almost surely, 2^212769539640 is an apocalyptic number.

212769539640 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 212769539640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419335392960).

212769539640 is an abundant number, since it is smaller than the sum of its proper divisors (625901246280).

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

212769539640 is a wasteful number, since it uses less digits than its factorization.

212769539640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 212769539640 in words is "two hundred twelve billion, seven hundred sixty-nine million, five hundred thirty-nine thousand, six hundred forty".