51540608000 has 704 divisors, whose sum is σ = 159655781376. Its totient is φ = 16220160000.

The previous prime is 51540607991. The next prime is 51540608003. The reversal of 51540608000 is 80604515.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51540608003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 844927970 + ... + 844928030.

Almost surely, 2^51540608000 is an apocalyptic number.

51540608000 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 51540608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827890688).

51540608000 is an abundant number, since it is smaller than the sum of its proper divisors (108115173376).

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

51540608000 is a wasteful number, since it uses less digits than its factorization.

51540608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 51540608000 in words is "fifty-one billion, five hundred forty million, six hundred eight thousand".