51426479520 has 576 divisors, whose sum is σ = 200146826880. Its totient is φ = 11932655616.

The previous prime is 51426479513. The next prime is 51426479521. The reversal of 51426479520 is 2597462415.

51426479520 is a `hidden beast` number, since 51 + 4 + 2 + 6 + 4 + 79 + 520 = 666.

51426479520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (51426479521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23342739 + ... + 23344941.

It is an arithmetic number, because the mean of its divisors is an integer number (347477130).

Almost surely, 2^51426479520 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 51426479520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100073413440).

51426479520 is an abundant number, since it is smaller than the sum of its proper divisors (148720347360).

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

51426479520 is a wasteful number, since it uses less digits than its factorization.

51426479520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 51426479520 in words is "fifty-one billion, four hundred twenty-six million, four hundred seventy-nine thousand, five hundred twenty".