51954845993856 has 1152 divisors, whose sum is σ = 177220320076800. Its totient is φ = 15102139613184.

The previous prime is 51954845993833. The next prime is 51954845993861. The reversal of 51954845993856 is 65839954845915.

51954845993856 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 484 + 59 + 9 + 3 + 85 + 6 = 666.

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 (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60624090580 + ... + 60624091436.

It is an arithmetic number, because the mean of its divisors is an integer number (153837083400).

Almost surely, 2^{51954845993856} 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 51954845993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88610160038400).

51954845993856 is an abundant number, since it is smaller than the sum of its proper divisors (125265474082944).

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

51954845993856 is a wasteful number, since it uses less digits than its factorization.

51954845993856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1501 counting only the distinct ones).

The product of its digits is 8398080000, while the sum is 81.

The spelling of 51954845993856 in words is "fifty-one trillion, nine hundred fifty-four billion, eight hundred forty-five million, nine hundred ninety-three thousand, eight hundred fifty-six".