51609600000 has 684 divisors, whose sum is σ = 212977962288. Its totient is φ = 11796480000.

The previous prime is 51609599959. The next prime is 51609600001. The reversal of 51609600000 is 690615.

51609600000 is a `hidden beast` number, since 51 + 6 + 0 + 9 + 600 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (51609600001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7372799997 + ... + 7372800003.

Almost surely, 2^51609600000 is an apocalyptic number.

51609600000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51609600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106488981144).

51609600000 is an abundant number, since it is smaller than the sum of its proper divisors (161368362288).

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

51609600000 is an frugal number, since it uses more digits than its factorization.

51609600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 51609600000 in words is "fifty-one billion, six hundred nine million, six hundred thousand".