51124333740480 has 6720 divisors, whose sum is σ = 267886918607616. Its totient is φ = 8969099673600.

The previous prime is 51124333740479. The next prime is 51124333740509. The reversal of 51124333740480 is 8404733342115.

It is a happy number.

51124333740480 is a `hidden beast` number, since 5 + 1 + 124 + 3 + 3 + 3 + 7 + 40 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a super-2 number, since 2×51124333740480² (a number of 28 digits) contains 22 as substring.

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 959 ways as a sum of consecutive naturals, for example, 198927368512 + ... + 198927368768.

Almost surely, 2^{51124333740480} 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 51124333740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133943459303808).

51124333740480 is an abundant number, since it is smaller than the sum of its proper divisors (216762584867136).

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

51124333740480 is a wasteful number, since it uses less digits than its factorization.

51124333740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 51124333740480 in words is "fifty-one trillion, one hundred twenty-four billion, three hundred thirty-three million, seven hundred forty thousand, four hundred eighty".