51405807156480 has 864 divisors, whose sum is σ = 217037837592576. Its totient is φ = 10977643708416.

The previous prime is 51405807156463. The next prime is 51405807156511. The reversal of 51405807156480 is 8465170850415.

51405807156480 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 5 + 8 + 0 + 7 + 156 + 480 = 666.

It is a super-3 number, since 3×51405807156480³ (a number of 42 digits) contains 333 as substring.

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, 79430679 + ... + 80075241.

Almost surely, 2^{51405807156480} 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 51405807156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108518918796288).

51405807156480 is an abundant number, since it is smaller than the sum of its proper divisors (165632030436096).

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

51405807156480 is a wasteful number, since it uses less digits than its factorization.

51405807156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644663 (or 644646 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 51405807156480 in words is "fifty-one trillion, four hundred five billion, eight hundred seven million, one hundred fifty-six thousand, four hundred eighty".