51180629898240 has 1408 divisors, whose sum is σ = 191222132774400. Its totient is φ = 12968247951360.

The previous prime is 51180629898131. The next prime is 51180629898247. The reversal of 51180629898240 is 4289892608115.

51180629898240 is a `hidden beast` number, since 5 + 1 + 18 + 0 + 6 + 298 + 98 + 240 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51180629898247) 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 127 ways as a sum of consecutive naturals, for example, 54621803052 + ... + 54621803988.

Almost surely, 2^{51180629898240} 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 51180629898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95611066387200).

51180629898240 is an abundant number, since it is smaller than the sum of its proper divisors (140041502876160).

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

51180629898240 is a wasteful number, since it uses less digits than its factorization.

51180629898240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 51180629898240 in words is "fifty-one trillion, one hundred eighty billion, six hundred twenty-nine million, eight hundred ninety-eight thousand, two hundred forty".