51282016676352 has 2560 divisors, whose sum is σ = 206647859404800. Its totient is φ = 12303209594880.

The previous prime is 51282016676249. The next prime is 51282016676461. The reversal of 51282016676352 is 25367661028215.

51282016676352 is a `hidden beast` number, since 5 + 1 + 28 + 201 + 6 + 67 + 6 + 352 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 86478948568 + ... + 86478949160.

It is an arithmetic number, because the mean of its divisors is an integer number (80721820080).

Almost surely, 2^{51282016676352} 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 51282016676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103323929702400).

51282016676352 is an abundant number, since it is smaller than the sum of its proper divisors (155365842728448).

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

51282016676352 is an equidigital number, since it uses as much as digits as its factorization.

51282016676352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 51282016676352 in words is "fifty-one trillion, two hundred eighty-two billion, sixteen million, six hundred seventy-six thousand, three hundred fifty-two".