51649536000 has 896 divisors, whose sum is σ = 194318631936. Its totient is φ = 12111052800.

The previous prime is 51649535933. The next prime is 51649536013. The reversal of 51649536000 is 63594615.

It is a self number, because there is not a number n which added to its sum of digits gives 51649536000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1201151979 + ... + 1201152021.

Almost surely, 2^51649536000 is an apocalyptic number.

51649536000 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 51649536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97159315968).

51649536000 is an abundant number, since it is smaller than the sum of its proper divisors (142669095936).

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

51649536000 is a wasteful number, since it uses less digits than its factorization.

51649536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The spelling of 51649536000 in words is "fifty-one billion, six hundred forty-nine million, five hundred thirty-six thousand".