51148944000 has 1152 divisors, whose sum is σ = 233457681600. Its totient is φ = 10612224000.

The previous prime is 51148943983. The next prime is 51148944001. The reversal of 51148944000 is 44984115.

51148944000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51148944001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77615671 + ... + 77616329.

Almost surely, 2^51148944000 is an apocalyptic number.

51148944000 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 51148944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116728840800).

51148944000 is an abundant number, since it is smaller than the sum of its proper divisors (182308737600).

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

51148944000 is a wasteful number, since it uses less digits than its factorization.

51148944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 51148944000 in words is "fifty-one billion, one hundred forty-eight million, nine hundred forty-four thousand".