51667106771052 has 168 divisors, whose sum is σ = 135977645392400. Its totient is φ = 17169887996928.

The previous prime is 51667106771023. The next prime is 51667106771053. The reversal of 51667106771052 is 25017760176615.

51667106771052 is a `hidden beast` number, since 516 + 6 + 7 + 1 + 0 + 6 + 7 + 71 + 0 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51667106771052.

It is not an unprimeable number, because it can be changed into a prime (51667106771053) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2119316199 + ... + 2119340577.

Almost surely, 2^{51667106771052} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51667106771052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67988822696200).

51667106771052 is an abundant number, since it is smaller than the sum of its proper divisors (84310538621348).

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

51667106771052 is a wasteful number, since it uses less digits than its factorization.

51667106771052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26587 (or 26570 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 51667106771052 in words is "fifty-one trillion, six hundred sixty-seven billion, one hundred six million, seven hundred seventy-one thousand, fifty-two".