51179869440 has 720 divisors, whose sum is σ = 211741001472. Its totient is φ = 11561730048.

The previous prime is 51179869379. The next prime is 51179869547. The reversal of 51179869440 is 4496897115.

51179869440 is a `hidden beast` number, since 5 + 117 + 9 + 86 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 70398357 + ... + 70399083.

Almost surely, 2^51179869440 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 51179869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105870500736).

51179869440 is an abundant number, since it is smaller than the sum of its proper divisors (160561132032).

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

51179869440 is an equidigital number, since it uses as much as digits as its factorization.

51179869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 51179869440 in words is "fifty-one billion, one hundred seventy-nine million, eight hundred sixty-nine thousand, four hundred forty".