51979173120 has 1152 divisors, whose sum is σ = 226050048000. Its totient is φ = 11054776320.

The previous prime is 51979173119. The next prime is 51979173121. The reversal of 51979173120 is 2137197915.

It is a happy number.

51979173120 is a `hidden beast` number, since 519 + 7 + 9 + 1 + 7 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (51979173119) and next prime (51979173121).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51979173121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 217485961 + ... + 217486199.

It is an arithmetic number, because the mean of its divisors is an integer number (196224000).

Almost surely, 2^51979173120 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 51979173120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113025024000).

51979173120 is an abundant number, since it is smaller than the sum of its proper divisors (174070874880).

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

51979173120 is a wasteful number, since it uses less digits than its factorization.

51979173120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 51979173120 in words is "fifty-one billion, nine hundred seventy-nine million, one hundred seventy-three thousand, one hundred twenty".