51434278787880 has 512 divisors, whose sum is σ = 179180052480000. Its totient is φ = 13109010969600.

The previous prime is 51434278787873. The next prime is 51434278787921. The reversal of 51434278787880 is 8878787243415.

51434278787880 is a `hidden beast` number, since 5 + 1 + 4 + 342 + 78 + 78 + 78 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51434278787799 and 51434278787808.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1134915861 + ... + 1134961179.

It is an arithmetic number, because the mean of its divisors is an integer number (349961040000).

Almost surely, 2^{51434278787880} 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 51434278787880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89590026240000).

51434278787880 is an abundant number, since it is smaller than the sum of its proper divisors (127745773692120).

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

51434278787880 is a wasteful number, since it uses less digits than its factorization.

51434278787880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45790 (or 45780 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 72.

The spelling of 51434278787880 in words is "fifty-one trillion, four hundred thirty-four billion, two hundred seventy-eight million, seven hundred eighty-seven thousand, eight hundred eighty".