51546144661320 has 256 divisors, whose sum is σ = 158954799790080. Its totient is φ = 13364301772800.

The previous prime is 51546144661303. The next prime is 51546144661327. The reversal of 51546144661320 is 2316644164515.

It is a self number, because there is not a number n which added to its sum of digits gives 51546144661320.

It is not an unprimeable number, because it can be changed into a prime (51546144661327) 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, 5151003757 + ... + 5151013763.

It is an arithmetic number, because the mean of its divisors is an integer number (620917186680).

Almost surely, 2^{51546144661320} 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 51546144661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79477399895040).

51546144661320 is an abundant number, since it is smaller than the sum of its proper divisors (107408655128760).

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

51546144661320 is a wasteful number, since it uses less digits than its factorization.

51546144661320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13556 (or 13552 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 51546144661320 in words is "fifty-one trillion, five hundred forty-six billion, one hundred forty-four million, six hundred sixty-one thousand, three hundred twenty".