75538264950 has 144 divisors (see below), whose sum is σ = 217300533840. Its totient is φ = 18745436160.

The previous prime is 75538264943. The next prime is 75538264957. The reversal of 75538264950 is 5946283557.

75538264950 is a `hidden beast` number, since 7 + 553 + 82 + 6 + 4 + 9 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (75538264943) and next prime (75538264957).

It is a super-3 number, since 3×75538264950³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75538264957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 625377 + ... + 736323.

It is an arithmetic number, because the mean of its divisors is an integer number (1509031485).

Almost surely, 2^75538264950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75538264950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108650266920).

75538264950 is an abundant number, since it is smaller than the sum of its proper divisors (141762268890).

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

75538264950 is a wasteful number, since it uses less digits than its factorization.

75538264950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111071 (or 111063 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 75538264950 in words is "seventy-five billion, five hundred thirty-eight million, two hundred sixty-four thousand, nine hundred fifty".