51123156480 has 960 divisors, whose sum is σ = 207622711296. Its totient is φ = 11943936000.

The previous prime is 51123156467. The next prime is 51123156481. The reversal of 51123156480 is 8465132115.

51123156480 is a `hidden beast` number, since 5 + 1 + 1 + 2 + 3 + 1 + 5 + 648 + 0 = 666.

51123156480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×51123156480³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51123156481) 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, 212129160 + ... + 212129400.

Almost surely, 2^51123156480 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 51123156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103811355648).

51123156480 is an abundant number, since it is smaller than the sum of its proper divisors (156499554816).

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

51123156480 is a wasteful number, since it uses less digits than its factorization.

51123156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 51123156480 its reverse (8465132115), we get a palindrome (59588288595).

The spelling of 51123156480 in words is "fifty-one billion, one hundred twenty-three million, one hundred fifty-six thousand, four hundred eighty".