51853083310080 has 768 divisors, whose sum is σ = 205345327824000. Its totient is φ = 12323678846976.

The previous prime is 51853083310031. The next prime is 51853083310097. The reversal of 51853083310080 is 8001338035815.

51853083310080 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 308 + 331 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 103984224 + ... + 104481696.

Almost surely, 2^{51853083310080} 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 51853083310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672663912000).

51853083310080 is an abundant number, since it is smaller than the sum of its proper divisors (153492244513920).

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

51853083310080 is a wasteful number, since it uses less digits than its factorization.

51853083310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497551 (or 497525 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 51853083310080 in words is "fifty-one trillion, eight hundred fifty-three billion, eighty-three million, three hundred ten thousand, eighty".