51174789120 has 1248 divisors, whose sum is σ = 228408590592. Its totient is φ = 10701766656.

The previous prime is 51174789079. The next prime is 51174789137. The reversal of 51174789120 is 2198747115.

It is a happy number.

51174789120 is a `hidden beast` number, since 51 + 1 + 7 + 478 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 452874184 + ... + 452874296.

It is an arithmetic number, because the mean of its divisors is an integer number (183019704).

Almost surely, 2^51174789120 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 51174789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114204295296).

51174789120 is an abundant number, since it is smaller than the sum of its proper divisors (177233801472).

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

51174789120 is a wasteful number, since it uses less digits than its factorization.

51174789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 51174789120 in words is "fifty-one billion, one hundred seventy-four million, seven hundred eighty-nine thousand, one hundred twenty".