51606434880 has 2352 divisors, whose sum is σ = 263372217984. Its totient is φ = 9316270080.

The previous prime is 51606434857. The next prime is 51606434911. The reversal of 51606434880 is 8843460615.

51606434880 is a `hidden beast` number, since 5 + 1 + 606 + 4 + 34 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×51606434880² (a number of 22 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 335 ways as a sum of consecutive naturals, for example, 3035672632 + ... + 3035672648.

Almost surely, 2^51606434880 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 51606434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131686108992).

51606434880 is an abundant number, since it is smaller than the sum of its proper divisors (211765783104).

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

51606434880 is a wasteful number, since it uses less digits than its factorization.

51606434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 51606434880 in words is "fifty-one billion, six hundred six million, four hundred thirty-four thousand, eight hundred eighty".