52459508911950 has 288 divisors, whose sum is σ = 162037757586432. Its totient is φ = 11919184992000.

The previous prime is 52459508911891. The next prime is 52459508911991. The reversal of 52459508911950 is 5911980595425.

52459508911950 is a `hidden beast` number, since 5 + 2 + 4 + 5 + 9 + 508 + 9 + 119 + 5 + 0 = 666.

It is a super-2 number, since 2×52459508911950² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1358648145 + ... + 1358686755.

Almost surely, 2^{52459508911950} is an apocalyptic number.

52459508911950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 52459508911950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81018878793216).

52459508911950 is an abundant number, since it is smaller than the sum of its proper divisors (109578248674482).

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

52459508911950 is a wasteful number, since it uses less digits than its factorization.

52459508911950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41200 (or 41192 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 63.

The spelling of 52459508911950 in words is "fifty-two trillion, four hundred fifty-nine billion, five hundred eight million, nine hundred eleven thousand, nine hundred fifty".