51544000512 has 192 divisors, whose sum is σ = 157955616000. Its totient is φ = 16588357632.

The previous prime is 51544000499. The next prime is 51544000513. The reversal of 51544000512 is 21500044515.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51544000513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1587513 + ... + 1619655.

It is an arithmetic number, because the mean of its divisors is an integer number (822685500).

Almost surely, 2^51544000512 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 51544000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78977808000).

51544000512 is an abundant number, since it is smaller than the sum of its proper divisors (106411615488).

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

51544000512 is a wasteful number, since it uses less digits than its factorization.

51544000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32203 (or 32177 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 51544000512 in words is "fifty-one billion, five hundred forty-four million, five hundred twelve", and thus it is an aban number.