50752351440 has 400 divisors, whose sum is σ = 202947224832. Its totient is φ = 11514451968.

The previous prime is 50752351423. The next prime is 50752351451. The reversal of 50752351440 is 4415325705.

50752351440 is a `hidden beast` number, since 50 + 7 + 52 + 3 + 514 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50752351395 and 50752351404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6210237 + ... + 6218403.

Almost surely, 2^50752351440 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 50752351440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101473612416).

50752351440 is an abundant number, since it is smaller than the sum of its proper divisors (152194873392).

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

50752351440 is a wasteful number, since it uses less digits than its factorization.

50752351440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 50752351440 in words is "fifty billion, seven hundred fifty-two million, three hundred fifty-one thousand, four hundred forty".