51079248000 has 640 divisors, whose sum is σ = 207013847040. Its totient is φ = 12379392000.

The previous prime is 51079247993. The next prime is 51079248007. The reversal of 51079248000 is 84297015.

It is an interprime number because it is at equal distance from previous prime (51079247993) and next prime (51079248007).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51079248007) by changing a digit.

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, 14254209 + ... + 14257791.

It is an arithmetic number, because the mean of its divisors is an integer number (323459136).

Almost surely, 2^51079248000 is an apocalyptic number.

51079248000 is a gapful number since it is divisible by the number (50) 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 51079248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103506923520).

51079248000 is an abundant number, since it is smaller than the sum of its proper divisors (155934599040).

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

51079248000 is a wasteful number, since it uses less digits than its factorization.

51079248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 51079248000 in words is "fifty-one billion, seventy-nine million, two hundred forty-eight thousand".