51935270999040 has 4224 divisors, whose sum is σ = 240805883404800. Its totient is φ = 10416386211840.

The previous prime is 51935270998997. The next prime is 51935270999047. The reversal of 51935270999040 is 4099907253915.

51935270999040 is a `hidden beast` number, since 5 + 1 + 9 + 352 + 70 + 99 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a super-4 number, since 4×51935270999040⁴ (a number of 56 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51935270999047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 711442068444 + ... + 711442068516.

Almost surely, 2^{51935270999040} 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 51935270999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120402941702400).

51935270999040 is an abundant number, since it is smaller than the sum of its proper divisors (188870612405760).

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

51935270999040 is a wasteful number, since it uses less digits than its factorization.

51935270999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27556200, while the sum is 63.

The spelling of 51935270999040 in words is "fifty-one trillion, nine hundred thirty-five billion, two hundred seventy million, nine hundred ninety-nine thousand, forty".