51601326981120 has 3360 divisors, whose sum is σ = 230591572944768. Its totient is φ = 10811841970176.

The previous prime is 51601326981097. The next prime is 51601326981121. The reversal of 51601326981120 is 2118962310615.

It is a happy number.

51601326981120 is a `hidden beast` number, since 5 + 1 + 601 + 3 + 2 + 6 + 9 + 8 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51601326981121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 376652021692 + ... + 376652021828.

Almost surely, 2^{51601326981120} 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 51601326981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115295786472384).

51601326981120 is an abundant number, since it is smaller than the sum of its proper divisors (178990245963648).

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

51601326981120 is an equidigital number, since it uses as much as digits as its factorization.

51601326981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 51601326981120 in words is "fifty-one trillion, six hundred one billion, three hundred twenty-six million, nine hundred eighty-one thousand, one hundred twenty".