51240175534080 has 1440 divisors, whose sum is σ = 202773130183008. Its totient is φ = 12298538188800.

The previous prime is 51240175534063. The next prime is 51240175534099. The reversal of 51240175534080 is 8043557104215.

51240175534080 is a `hidden beast` number, since 5 + 1 + 2 + 4 + 0 + 17 + 553 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×51240175534080² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 28293856375 + ... + 28293858185.

Almost surely, 2^{51240175534080} 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 51240175534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101386565091504).

51240175534080 is an abundant number, since it is smaller than the sum of its proper divisors (151532954648928).

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

51240175534080 is an equidigital number, since it uses as much as digits as its factorization.

51240175534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 51240175534080 in words is "fifty-one trillion, two hundred forty billion, one hundred seventy-five million, five hundred thirty-four thousand, eighty".